Baum-Connes Conjecture Bibliography in HTML

Baum-Connes Conjecture Bibliography

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z




[1] H. Abels, Parallelizability of proper actions, global K-slices and maximal compact subgroups, Math. Ann. 212 (1974), 1-19.

[2] C. Akemann and M. Walter, Unbounded negative definite functions, Canadian Journal of Mathematics 33 (1981), 862-871.

[3] R. Alperin, Locally compact groups acting on trees with property (T), Monatsh. 93 (1982), 261-265.

[4] C. Anantharaman-Delaroche, Amenable correspondences and approximation properties for von Neumann algebras, Pacific Journal of Mathematics 171 (1995), 309-341.

[5] C. Anantharaman-Delaroche and J. Renault, Amenable groupoids, Enseignement Math., Geneva, 2000.

[6] N. Aoki, ed., Dynamical systems and applications. Papers from the conference held at Kyoto University, Kyoto, July 8-11, 1987, World Scientific Advanced Series in Dynamical Systems 5, World Scientific Publishing Co., Inc., Singapore, 1987.

[7] N. Aoki, ed., The study of dynamical systems. Papers from the conference held at Kyoto University, Kyoto, February 1-4, 1989, World Scientific Advanced Series in Dynamical Systems 7, World Scientific Publishing Co., Inc., Teaneck, NJ, 1989.

[8] H. Araki and R. V. Kadison, eds., Mappings of operator algebras. Proceedings of the Fourth Japan-U.S. Joint Seminar on Operator Algebras held at the University of Pennsylvania, Philadelphia, Pennsylvania, May 23-27, 1988, Progress in Mathematics 84, Birkhauser Boston, Inc., Boston, MA, 1990.

[9] W. Arveson, Notes on extensions of C*-algebras, Duke Mathematical Journal 44 (1977), 329-355.

[10] M. F. Atiyah, Bott periodicity and the index of elliptic operators, Quart. J. Math. Oxford 19 (1968), 113-40.

[11] M.F. Atiyah, Global theory of elliptic operators, Proc. Int. Symp. on Functional Analysis, University of Tokyo Press, Tokyo, 1969, pp.21-30.

[12] M.F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Asterisque 32-33 (1976), 43-72.

[13] M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Camb. Phil. Soc. 77 (1975), 43-69.

[14] M.F. Atiyah and W. Schmid, A geometric construction of the discrete series for semisimple Lie groups, Inventiones Mathematicae 42 (1977), 1-62.

[15] S. Baaj and P. Julg, Theorie bivariante de Kasparov et operateurs non bornes dans les C*-modules hilbertiens, C. R. Acad. Sci. Paris, Ser. I Math. 296 (1983), 875-878.

[16] W. Ballmann and J. Swiatkowski, On L^2-cohomology and property (T) for automorphism groups of polyhedral cell complexes, Geom. Funct. Anal. 7 (1997), 615-645.

[17] P. Baum and A. Connes, Geometric K-theory for Lie groups and foliations, Enseign. Math. (2) 46 (2000), 3-42.

[18] P. Baum and A. Connes, Chern character for discrete groups, A fete of topology, North Holland, Amsterdam, 1987, pp.163-232.

[19] P. Baum and A. Connes, K-theory for discrete groups, Operator algebras and Applications, D. Evans and M. Takesaki, eds., Cambridge University Press, 1988, pp.1-20.

[20] P. Baum and R. G. Douglas, K-homology and index theory, Proc. Symp. Pure Math 38, Part 1, (Operator Algebras and Applications, R. Kadison, ed.), American Mathematical Society, 1982, pp.117-173.

[21] P. Baum, J. Block and N. Higson, Chern character for totally disconnectd groups, In preparation.

[22] P. Baum, A. Connes and N. Higson, Classifying space for proper actions and K-theory of group C*-algebras, Contemporary Mathematics 167 (1994), 241-291.

[23] P. Baum, N. Higson and R. Plymen, Equivariant homology for SL(2) of a p-adic field, Contemporary Mathematics 148 (1993), 1-18.

[24] P. Baum, N. Higson and R. Plymen, A proof of the Baum-Connes conjecture for p-adic GL(n), C. R. Acad. Sci. Paris, Ser. I Math. 325 (1997), 171-176.

[25] P. Baum, N. Higson and R. Plymen, Representation theory of p-adic groups: a view from operator algebras, The mathematical legacy of Harish-Chandra (Baltimore, MD, 1998), Proc. Sympos. Pure Math. 68, Amer. Math. Soc., Providence, RI, 2000, pp.111-149.

[26] P. Baum, S. Millington and R. Plymen, A proof of the Baum-Connes conjecture for reductive adelic groups, preprint math.KT/0012107 (2000), http://xxx.lanl.gov/.

[27] P. Baum, S. Millington and R. Plymen, A proof of the Baum-Connes conjecture for reductive adelic groups, C. R. Acad. Sci. Paris Ser. I Math. 332 (2001), 195-200.

[28] C. Beguin, H. Bettaieb and A. Valette, The Baum-Connes conjecture for torsion-free one-relator groups, K-Theory 16 (1999), 277-298.

[29] M.E.B. Bekka, P.-A. Cherix and A. Valette, Proper affine isometric actions of amenable groups, Novikov conjectures, index theorems and rigidity, vol. 2, S. Ferry, A. Ranicki and J. Rosenberg, eds., Cambridge University Press, Cambridge, 1995, pp.1-4.

[30] M.E.B. Bekka, M. Cowling and P. de la Harpe, Some groups whose reduced C* -algebra is simple, Publ. Math. I.H.E.S. 80 (1994), 117-134.

[31] H. Bettaieb and A. Vallette, Sur le groupe K_1 des C*-algebres reduites de groupes discrets, C. R. Acad. Sci. Paris, Ser. I Math. 322 (1996), 925-928.

[32] B. Blackadar, K-theory for operator algebras, MSRI Publications 5, Springer-Verlag, New York-Heidelberg-Berlin-Tokyo, 1986.

[33] P. Blanc and J-L. Brylinski, Cyclic homology and the Selberg principle, J. Functional Analysis 109 (1992), 289-330.

[34] J. Block, Some remarks concerning the Baum-Connes conjecture, Comm. Pure Appl. Math. 50 (1997), 813-820.

[35] M. Bozejko, T. Januszkiewicz and R. Spatzier, Infinite Coxeter groups do not have Kazhdan's property (T), Journal of Operator Theory 19 (1988), 63-67.

[36] A. Borel, Admissible representations of a semisimple group over a local field with vectors fixed under an Iwohori subgroup, Inventiones Mathematicae 35 (1976), 233-259.

[37] A. Borel, Proper actions of Lie groups, Letter to P. Baum October 22, 1982; and addendum, July 11, 1984.

[38] L. Brown, R. Douglas and P. Fillmore, Extensions of C*-algebras and K-homology, Annals of Mathematics 105 (1977), 265-324.

[39] J-L. Brylinski, Some examples of Hochschild and cyclic homology, Lecture Notes in Mathematics 1271, Springer-Verlag, pp.33-72.

[40] C.J. Bushnell and P.C. Kutzko, The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies 129 (1993).

[41] G. Carlsson, E. K. Pedersen and J. Roe, Controlled C*-theory and the injectivity of the Baum-Connes map, in preparation (1999).

[42] J. Chabert, Stabilite de la conjecture de Baum-Connes pour certains produits semi-directs de groupes, C. R. Acad. Sci. Paris Ser. I Math. 328 (1999), 1129-1132.

[43] J. Chabert, Baum-Connes conjecture for some semi-direct products, J. Reine Angew. Math. 521 (2000), 161-184.

[44] J. Chabert and S. Echterhoff, Twisted equivariant KK-Theory and the Baum-Connes conjecture for group extensions, K-Theory 23 (2001), 157-200.

[45] J. Chabert and S. Echterhoff, Permanence properties of the Baum-Connes conjecture, Doc. Math. 6 (2001), 127-183.

[46] J. Chabert, S. Echterhoff and R. Meyer, Deux Remarques sur l'application de Baum-Connes, C. R. Acad. Sci. Paris Ser. I Math. 332 (2001), 607-610.

[47] J. Chabert, S. Echterhoff and R. Nest, The Connes-Kasparov conjecture for almost connected groups, preprint math.OA/0110130 (2002), http://front.math.ucdavis.edu/.

[48] J. Cheeger and M. Gromov, Bounds on the von Neumann dimension of L^2-cohomology and the Gauss Bonnet Theorem for open manifolds, J. Diff. Geom. 21 (1985), 1-34.

[49] P.-A. Cherix, M. Cowling, P. Jolissaint, P. Julg and A. Valette, Groups with the Haagerup property. Gromov's a-T-menability, Birkhauser, Basel, 2001.

[50] A. Connes, An analogue of the Thom isomorphism for crossed products of a C*-algebra by an action of R, Advances in Mathematics 39 (1981), 31-55.

[51] A. Connes, Noncommutative geometry, Academic Press, Inc., San Diego, CA, 1994.

[52] A. Connes and N. Higson, Deformations, morphismes asymptotiques et K-theorie bivariante, C. R. Acad. Sci. Paris, Ser. I Math. 311 (1990), 101-106.

[53] A. Connes and N. Higson, Asymptotic morphisms and operator K-theory, In preparation.

[54] A. Connes and H. Moscovici, Cyclic cohomology, the Novikov conjecture, and hyperbolic groups, Topology 29 (1990), 345-388.

[55] M. Coornaert, T. Delzant and A. Papadopoulos, Geometrie et theorie des groupes, Lecture Notes in Mathematics 1441, Springer-Verlag, 1990.

[56] J. Cuntz, K-theoretic amenability for discrete groups, J. Reine Angew. Math. 344 (1983), 180-195.

[57] J. Cuntz, Non-commutative simplicial somplexes and the Baum-Connes conjecture, Geom. Funct. Anal. 12 (2002), 307-329.

[58] J. Cuntz and S. Echterhoff, eds., C*-algebras. Proceedings of the SFB Workshop held at the University of Munster, Munster, March 8-12, 1999, Springer-Verlag, Berlin, 2000.

[59] J. Cuntz and G. Skandalis, Mapping cones and exact sequences in KK-theory, J. Operator Theory 15 (1986), 163-180.

[60] J. F. Davis and W. Luck, Spaces over a category and assembley maps in isomorphism conjectures in K- and L-theory, K-Theory 15 (1998), 201-252.

[61] C. Delaroche and A. Kirillov, Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermes (d'apres D. A. Kajdan), Sem. Bourbaki, expose 343, juin 1968, pp.507-528.

[62] P. Delorme, 1-cohomologie des representations unitaires des groupes de Lie semi-simples et resolubles. Produits tensoriels continus et representations, Bull. Soc. Math. France 105 (1977), 281-336.

[63] R. G. Douglas, J. F. Glazebrook, F. Kamber and G. L. Yu, Index formulas for geometric Dirac operators in Riemannian foliations, K-Theory 9 (1995), 407-441.

[64] A. N. Dranishnikov, Asymptotic topology (Russian), Uspekhi Mat. Nauk 55 (2000), 71-116.

[65] G. Elliot and T. Natsume, A Bott periodicity map for crossed products of C*-algebras by discrete groups, K-theory 1 (1987), 423-435.

[66] J. Faraut and K. Harzallah, Distances hilbertiennes invariantes sur un espace homogene, Ann. Inst. Fourier 24 (1974), 171-217.

[67] F.T. Farrell and L. Jones, Rigidity in geometry and topology, Proc. Internat. Cong. of Mathematicians, Kyoto, 1990, pp.653-663.

[68] S. Ferry, A. Ranicki and J. Rosenberg, A history and survey of the Novikov conjecture, Novikov conjectures, Index theorems and rigidity, vol. 1, S. Ferry, A. Ranicki and J. Rosenberg, eds., London Math. Soc. Lecture Note Ser. 226, Cambridge University Press, Cambridge, 1995, pp.7-66.

[69] P. A. Fillmore and J. A. Mingo, eds., Operator algebras and their applications. Papers from the Special Year held at the Fields Institute for Research in Mathematical Sciences, Waterloo, ON, 1994-1995, Fields Institute Communications 13, 1997.

[70] J. Fox and P. Haskell, K-amenability for SU(n,1), J. Functional Analysis 117 (1993), 274-307.

[71] G. Gong and G. Yu, Volume growth and positive scalar curvature, Geom. Funct. Anal. 10 (2000), 821-828.

[72] P. Green, Equivariant K-theory and crossed product C*-algebras, Proceedings of Symposia in Pure Mathematics, Part 1, 1982, pp.337-338.

[73] M. Gromov, Hyperbolic groups, Essays in group theory, S.M. Gersten, ed., Springer-Verlag, New York, 1987, pp.75-263.

[74] M. Gromov, Asymptotic invariants of infinite groups, Geometric group theory, G.A. Niblo and M.A. Roller, eds., Cambridge Univeristy Press, Cambrige, 1993, pp.1-295.

[75] M. Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures, Functional analysis on the eve of the 21st century, Vol. II, Progress in Mathematics 132, Birkhauser Boston, Inc., Boston, MA, 1996.

[76] M. Gromov, Spaces and questions, unpublish manuscript (1999).

[77] E. Guentner, N. Higson and J. Trout, Equivariant E-theory for C*-algebras, preprint (1997).

[78] U. Haagerup, An example of a non-nuclear C*-algebra which has metric approximation property, Inventiones Mathematicae 50 (1979), 279-293.

[79] P. de la Harpe and A. Valette, La propriete (T) de Kazhdan pour les groupes localement compacts, Asterisque 175, Soc. Math. de France, 1989.

[80] P. Haskell, Direct limits in an equivariant K theory defined by proper cocycles, Michigan Math. J 36 (1989), 17-27.

[81] G. Hector, Groupoides, feuilletages et C*-algebres (quelques aspects de la conjecture de Baum-Connes), Geometric study of foliations (Tokyo, 1993), World Sci. Publishing, River Edge, NJ, 1994, pp.3-34.

[82] G. Hector and M. Macho-Stadler, Isomorphisme de Thom et feuilletages presque sans holonomie, C. R. Acad. Sci. Paris Ser. I Math. 325 (1997), 1015-1018.

[83] N. Higson, The Baum-Connes conjecture, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Doc. Math. (electronic), Extra Vol. II, 1998, pp.637-646.

[84] N. Higson, Bivariant K-theory and the Novikov conjecture, Geom. Funct. Anal. 10 (2000), 563-581.

[85] N. Higson and G. Kasparov, Operator K-theory for groups which act properly and isometrically on Hilbert space, E.R.A. Amer. Math. Soc. 3 (1997), 131-142.

[86] N. Higson and G. Kasparov, E-theory and KK-theory for groups which act properly and isometrically on Hilbert space, Invent. Math. 144 (2001), 23-74.

[87] N Higson and V. Nistor, Cyclic homology of totally disconnected groups acting on building, J. Funct. Analysis 141 (1996), 466-495.

[88] N. Higson and J. Roe, On the coarse Baum-Connes conjecture, Novikov conjectures, index theorems and rigidity, Vol. 2 (Oberwolfach, 1993), London Math. Soc. Lecture Note Ser. 227, 1995, pp.227-254.

[89] N. Higson and J. Roe, Amenable group actions and the Novikov conjecture, J. reine angew. Math. 519 (2000), 143-153, http://www.math.psu.edu/higson/research.html.

[90] N. Higson, G. Kasparov and J. Trout, A Bott periodicity theorem for infinite dimensional Euclidean space, Advances in Mathematics 135 (1998), 1-40.

[91] N. Higson, V. Lafforgue and G. Skandalis, Counterexamples to the Baum-Connes conjecture, Geom. Funct. Anal. 12 (2002), 330-354.

[92] N. Higson, J. Roe and G. L. Yu, A coarse Mayer-Vietoris principle, Math. Proc. Cambridge Philos. Soc. 114 (1993), 85-97.

[93] J. Hodgins and R. Plymen, Universal example for S-arithmetic groups, Exposition. Math. 15 (1997), 149-159.

[94] N. Iwahori and H. Matsumoto, On some Bruaht decomposition and the structure of Hecke rings of p-adic Chevalley groups, Publ. Math. IHES 25 (1965), 5-48.

[95] R. Ji, Smooth dense subalgebras of reduced group C *-algebras, Schwartz cohomology of groups, and cyclic cohomology, J. Funct. Anal. 107 (1992), 1-33.

[96] R. Ji, Bivariant Chern character and the analog Baum-Connes map, Contemporary mathematics 228 (1998), 133-149.

[97] R. Ji and S. Pedersen, Full group C*-algebras and the generalized Kadison conjecture, Operator Theory: Proceedings of the 1988 GPOTS-Wabash Conference (Indianapolis, IN, 1988), Pitman Research Notes in Mathematics 225, Longman Scientific Technical, Harlow, 1990, pp.43-47.

[98] R. Ji and S. Pedersen, Certain full group C*-algebras without proper projections, J. Operator Theory 24 (1990), 239-253.

[99] M. Joachim and T. Schick, Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture, Geometry and topology: Aarhus (1998), Contemp. Math. 258, Amer. Math. Soc., Providence, RI, 2000, pp.213-226.

[100] P. Jolissaint, Borel cocycles, approximation properties and relative property (T), preprint (1997).

[101] P. Jolissaint, P. Julg and A. Valette, Nouveaux exemples de groupes avec la propriete de Haagerup, preprint (1998).

[102] P. Julg, K-theorie equivariante et produits croises, C.R. Acad. Sci. Paris, Ser. I Math. 292 (1981), 629-632.

[103] P. Julg, Remarks on the Baum-Connes conjecture and Kazhdan's property (T), Fields Inst. Commun. 13 (1997), 145-153.

[104] P. Julg, Travaux de N. Higson and G. Kasparov sur la conjecture de Baum-Connes, Seminaire Bourbaki 841 (1998).

[105] P. Julg, La conjecture de Baum-Connes a coefficients pour le groupe Sp(n,1), C. R. Math. Acad. Sci. Paris 334 (2002), 533-538.

[106] P. Julg and G.G. Kasparov, L'anneau KK_G(C,C) pour G=SU(n,1), C. R. Acad. Sci. Paris, Ser. I Math. 313 (1991), 259-264.

[107] P. Julg and G. Kasparov, Operator K-theory for the group SU(n,1), J. Reine Angew. Math. 463 (1995), 99-152.

[108] P. Julg and A. Valette, K-theoretic amenability for SL_2 (Q _ p), and the action on the associated tree, J. Functional Analysis 58 (1984), 194-215.

[109] P. Julg and A. Valette, Twisted coboundary operator on a tree and the Selberg principle, J. Operator Theory 16 (1986), 285-304.

[110] J. Kaminker and J. Miller, Homotopy invariance of the analytic index of signature operators over C*-algebras, J. Operator Theory 14 (1985), 113-127.

[111] G. G. Kasparov, A generalized index for elliptic operators, Func. Analysis and Applications 7 (1973), 238-240.

[112] G. G. Kasparov, Topological invariants of elliptic operators, I: K-homology, Math. USSR Izvestiya, (English translation) 9 (1975), 751-792.

[113] G. G. Kasparov, Hilbert C*-modules: theorems of Stinespring and Voiculescu, J. Operator Theory 4 (1980), 133-150.

[114] G. G. Kasparov, The operator K-functor and extensions of C*-algebras, Math. USSR Izvestiya, (English translation) 16 (1981), 513-572.

[115] G.G. Kasparov, An index for invariant elliptic operators, K-theory, and representations of Lie groups, Soviet Math. Dokl., (English translation) 27 (1983), 105-109.

[116] G.G. Kasparov, Operator K-theory and its applications: elliptic operators, group representations, higher signatures, C*-extensions, Proc. International Congress of Mathematicians, vol 2, Warsaw, 1983, pp.987-1000.

[117] G.G. Kasparov, Lorentz groups: K-theory of unitary representations and crossed products, Sov. Math. Dokl., (English translation) 29 (1984), 256-260.

[118] G.G. Kasparov, Equivariant KK-theory and the Novikov conjecture, Inventiones Mathematicae 91 (1988), 147-201.

[119] G.G. Kasparov, K-theory, group C*-algebras, and higher signatures (Conspectus), Novikov conjectures, Index theorems and rigidity, vol. 1, S. Ferry, A. Ranicki and J. Rosenberg, eds., London Math. Soc. Lecture Note Ser. 226, Cambridge University Press, Cambridge, 1995, pp.101-146.

[120] G.G. Kasparov and G. Skandalis, Groups acting on buildings, operator K-theory and the Novikov conjecture, K-Theory 4 (1991), 303-337.

[121] G. Kasparov and G. Skandalis, Groupes ``boliques'' et conjecture de Novikov, C. R. Acad. Sci. Paris, Ser. I Math. 319 (1994), 815-820.

[122] G. Kasparov and G. Skandalis, Groups acting properly on ``bolic'' spaces and the Novikov conjecture, preprint (1998).

[123] D. A. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Functional Analysis and its Applications 1 (1967), 63-65.

[124] N. Keswani, Relative eta-invariants and C*-algebra K-theory, Topology 39 (2000), 957-983.

[125] D. Kucerovski, Kasparov products in KK-theory, and unbounded operators with applications to index theory, Ph. D. thesis, Magdalen College, Oxford (1994).

[126] P.C. Kutzko, On the supercuspidal representations of GL_N and other p-adic groups, Proc. Internat. Congress of Mathematicians, Berkeley, 1986, pp.853-861.

[127] V. Lafforgue, Une demonstration de la conjecture de Baum-Connes pour les groupes reductifs sur un corps p-adique et pour certaines groupes discretes possedant la propriete (T), preprint (1998).

[128] V. Lafforgue, Une demonstration de la conjecture de Baum-Connes pour les groupes reductifs sur un corps p-adique et pour certains groupes discrets possedant la propriete (T), C. R. Acad. Sci. Paris Ser. I Math. 327 (1998), 439-444.

[129] V. Lafforgue, K-theorie bivariante pour les algebres de Banach et conjecture de Baum-Connes, LMENS 40 (1998).

[130] V. Lafforgue, A proof of property (RD) for discrete cocompact subgroups of SL_3( R ), LMENS 42 (1998).

[131] V. Lafforgue, Groupes boliques et K-theorie bivariante banachique, preprint (1998).

[132] V. Lafforgue, Espaces de Schwartz, preprint (1998).

[133] V. Lafforgue, Complements a la demonstration de la conjecture de Baum-Connes pour certains groupes discrets possedant la propriete (T), C. R. Acad. Sci. Paris Ser. I Math. 328 (1999), 203-208.

[134] V. Lafforgue, A proof of property (RD) for cocompact lattices of SL(3,\bold R) and SL(3,\bold C), J. Lie Theory 10 (2000), 255-267.

[135] V. Lafforgue, Banach KK-theory and the Baum-Connes conjecture, European Congress of Mathematics, Vol. II (Barcelona, 2000), Progr. Math. 202, Birkhauser, Basel, 2001, pp.31-46.

[136] V. Lafforgue, K-theorie bivariante pour les algebres de Banach et conjecture de Baum-Connes, Invent. Math. 149 (2002\pages).

[137] P.-Y. Le Gall, Theorie de Kasparov equivariante et groupoides, these de doctorat Paris 7 (1994).

[138] P.-Y. Le Gall, Theorie de Kasparov equivariante et groupoides I, K-theory 16 (1999), 361-390.

[139] P.-Y. Le Gall, Groupoid C*-algebras and operator K-theory, Groupoids in analysis, geometry, and physics (Boulder, CO, 1999), Contemp. Math. 282, Amer. Math. Soc., Providence, RI, 2001, pp.137-145.

[140] W. Luck, The relation between the Baum-Connes Conjecture and the trace conjecture, Invent. Math. 149 (2002), 123-152.

[141] W. Luck, Chern characters for proper equivariant homology theories and applications to K- and L-theory, J. Reine Angew. Math. 543 (2002), 193-234.

[142] G. Lusztig, Novikov's higher signature and families of elliptic operators, J. Differential Geometry 7 (1971), 229-256.

[143] Tadayoshi Mizutani, Kazuo Masuda, Shigenori Matsumoto, Takashi Inaba, Takashi Tsuboi and Yoshihiko Mitsumatsu, eds., Geometric study of foliations. Proceedings of the International Symposium/Workshop held in Tokyo, November 15-19 and 22-26, 1993, World Scientific Publishing Co., Inc., River Edge, NJ, 1994.

[144] M. Macho-Stadler, La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variete ferme, Publ. Mat. 33 (1989), 445-457.

[145] M. Macho-Stadler, Foliations, groupoids and Baum-Connes conjecture, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 266 (2000), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 5, 169-187,.

[146] G.W. Mackey, On the analogy between semisimple Lie groups and certain realted semi-direct product groups, Lie groups and their representations, I. Gelfand, ed., Hilgar, London, 1975, pp.339-363.

[147] V. Mathai, On the homotopy invariance of reduced eta and other signature type invariants, preprint.

[148] V. Mathai, On positivity of the Kadison constant and noncommutative Bloch theory, Proceedings of the Fifth Pacific Rim Geometry Conference (Sendai, 2000), Tohoku Univ., Sendai, 2001, pp.107-124.

[149] J. Milnor, Construction of universal bundles, I, Ann. of Math. 63 (1956), 272-284.

[150] Y. Mineyev and G. Yu, The Baum-Connes conjecture for hyperbolic groups, Invent. Math. 149 (2002), 97-122.

[151] J. Mingo and W. Phillips, Equivariant triviality theorems for Hilbert modules, Proc. Amer. Math. Soc. 91 (1984), 225-230.

[152] A. S. Mishchenko, Infinite-dimensional representations of discrete groups and higher signatures, Izv. Akad. SSSR, Ser. Mat. 38 (1974), 81-106.

[153] A. S. Mishchenko, C*-algebras and K-theory, Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978), Lecture Notes in Mathematics 763, Springer-Verlag, Berlin, 1979, pp.262-274.

[154] P. Mitchener, Coarse homology theories, Algebr. Geom. Topol. 1 (2001), 271-297.

[155] P. Mitchener, KK-theory of C*-categories and the analytic assembly map, preprint (2002), http://www.math.uiuc.edu/K-theory/.

[156] P. Mitchener, C*-categories, groupoid actions, equivariant KK-theory, and the Baum-Connes conjecture, preprint (2002), http://www.math.uiuc.edu/K-theory/.

[157] P.S. Mostert, Local cross sections in locally compact groups, Proc. Amer. Math. Soc. 4 (1953), 645-649.

[158] T. Natsume, The Baum-Connes conjecture, the commutator theorem, and Rieffel projections, C. R. Math. Rep. Acad. Sci. Canada 10 (1988), 13-18.

[159] G. Niblo and L. Reeves, Groups acting on CAT(0) cube complexes, Geometry and Topology 1 (1997), 1-7.

[160] I. Nikolaev, Foliations on surfaces, Springer, Berlin, 2001.

[161] C. Ogle, Assembly maps, K-theory, and hyperbolic groups, K-Theory 6 (1992), 235-265.

[162] H. Oyono-Oyono, La conjecture de Baum-Connes pour les groupes agissant sur les arbres, these de doctorat, Universite Claude Bernard - Lyon I (1997).

[163] H. Oyono-Oyono, La conjecture de Baum-Connes pour les groupes agissant sur les arbres, C. R. Acad. Sci. Paris Ser. I Math. 326 (1998), 799-804.

[164] H. Oyono-Oyono, Baum-Connes conjecture and extensions, J. Reine Angew. Math. 532 (2001), 133-149.

[165] H. Oyono-Oyono, Baum-Connes conjecture and group actions on trees, K-Theory 24 (2001), 115-134.

[166] R. Palais, On the existence of slices for actions of non-compact Lie groups, Annals of Mathematics 73 (1961), 295-323.

[167] P. Pansu, Differential forms and connections adapted to a contact structure, after M. Rumin, Symplectic geometry, London Math. Soc. Lecture Note Ser. 192, 1993, pp.183-195.

[168] R. Parthasarathy, Dirac operator and the discrete series, Ann. of Math. 96 (1972), 1-30.

[169] D. S. Passman, The algebraic structure of group rings, Krieger Publixhing Co., 1985.

[170] M. Penington, D. Phil Thesis, Michaelmas Term, 1983, Oxford University.

[171] M. Penington and R. Plymen, The Dirac operator and the principal series for complex semisimple Lie groups, J. Functional. Anal. 53 (1983), 269-286.

[172] N. C. Phillips, Equivariant K-theory for proper actions, Pitman Research Notes in Mathematics 178, Longman Scientific Technical, 1988.

[173] M. Pimsner, KK-groups of crossed products by groups acting on trees, Invent. Math. 86 (1986), 603-634.

[174] M. Pimsner, K-theory for groups acting on trees, Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), Math. Soc. Japan, Tokyo, 1991, pp.979-986.

[175] R. Plymen, K-theory for the reduced C*-algebra of SL_2(Q_p), Lecture Notes in Mathematics 1132, Springer-Verlag, New York-Berlin, 1985, pp.409-420.

[176] R. Plymen, Reduced C*-algebra of the p-adic group GL(n), J. Functional Anal. 72 (1987), 1-12.

[177] R. Plymen, Reduced C*-algebra for reductive p-adic groups, J. Functional Anal. 88 (1990), 251-266.

[178] R. Plymen, Elliptic representations and K-theory for SL(1), Houston J. Math. 18 (1992), 25-32.

[179] R. Popescu, E-theorie equivariante et groupoides, these de doctorat, Universite Claude Bernard - Lyon I (2000).

[180] R. Popescu, E-theorie equivariante et groupoides, C. R. Acad. Sci. Paris Ser. I Math. 330 (2000), 1-6.

[181] M. Puschnigg, The Kadison-Kaplansky Conjecture for Word Hyperbolic Groups, Preprintreihe des SFB 478 - Geometrische Strukturen in der Mathematik, Munster, Heft 158 (2001), http://wwwmath.uni-muenster.de/math/inst/sfb/.

[182] M. A. Rieffel, Induced representations of C*-algebras, Advances in Math. 13 (1974), 176-257.

[183] A. G. Robertson, Property (T) for II_1 factors and unitary representations of Kazhdan groups, Math. Annalen 296 (1993), 547-555.

[184] A. G. Robertson, Crofton formulae and geodesic distance in hyperbolic space, preprint (1997).

[185] J. Roe, Coarse cohomology and index theory on complete Riemannian manifolds, AMS Memoirs 104, AMS, 1993.

[186] J. Roe, Index theory, coarse geometry, and topology of manifolds, CBMS Regional Conference Series in Mathematics 90, AMS, 1996.

[187] J. Rosenberg, The C*-algebras of some real and p-adic solvable groups, Pac. J. Math. 65 (1976), 175-192.

[188] J. Rosenberg, Group C*-algebras and topological invariants, Proc. Conf. on Operator Algebras and Group Representations, Monographs Stud. Math. 18, Pitman, Boston-London, 1984, pp.95-115.

[189] J. Rosenberg, C*-algebras, positive scalar curvature and the Novikov conjecture, Publ. Math. IHES 58 (1983), 197-212.

[190] J. Rosenberg and S. Weinberger, An equivariant Novikov conjecture, K-Theory 4 (1990), 29-53.

[191] T. Schick, The trace on the K-theory of group C*-algebras, Duke Math. J. 107 (2001), 1-14.

[192] P. Schneider, The cyclic homology of p-adic reductive groups, J. Reine Angew. Math. 475 (1996), 39-54.

[193] P. Shalen, Dendrology of groups: an introduction, Essays in group theory, S.M. Gersten, ed., Springer-Verlag, New York, 1987, pp.265-320.

[194] J.-K. Shim, The invariance of analytic assembly maps under the groupoid equivalence, J. Math. Kyoto Univ. 41 (2001), 809-827.

[195] G. Skandalis, Une notion de nuclearite en K-theorie, K-Theory 1 (1988), 549-573.

[196] G. Skandalis, Progres recents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue, Asterisque 276 (2002), 105-135.

[197] G. Skandalis, J. L. Tu and G. Yu, Coarse Baum-Connes conjecture and groupoids, Topology 41 (2002), 807-834.

[198] H. Takai, Baum-Connes conjectures and their applications, World Sci. Adv. Ser. Dyn. Syst. 5, 1987, pp.89-116.

[199] H. Takai, A counterexample of strong Baum-Connes conjectures for foliated manifolds, World Sci. Adv. Ser. Dyn. Syst. 7, 1989, pp.149-154.

[200] H. Takai, On the Baum-Connes conjecture, Prog. Math. 84, Birkhauser Boston, Inc., Boston, MA, 1990, pp.183-197.

[201] K. Thomsen, Asymptotic equivariant E-theory I, preprint (1997).

[202] J. Tits, On buildings and their applications, Proc. Internat. Cong. of Mathematicians, Vancouver, 1974, pp.209-220.

[203] J. Tits, Reductive groups over local fields, Proc. Symp. Pure Math. 33, Part 1, (Automorphic Forms, Representations and L-functions), American Math. Soc., Providence, 1979, pp.29-69.

[204] A. M. Torpe, K-theory for the leaf space of foliations by Reeb components, J. Functional Analysis 61 (1985), 15-71.

[205] J.-L. Tu, La conjecture de Novikov pour les feuilletages hyperboliques, These de doctorat, Paris 7 (1996).

[206] J.-L. Tu, La conjecture de Novikov pour les feuilletages hyperboliques, K-Theory 16 (1999), 129-184.

[207] J.-L. Tu, La conjecture de Baum-Connes pour les feuilletages moyennables, K-theory 17 (1999), 215-264.

[208] J.-L. Tu, The Baum-Connes conjecture and discrete group actions on trees, K-theory 17 (1999), 303-318.

[209] J.-L. Tu, The Baum-Connes conjecture for groupoids, Preprintreihe des SFB 478 - Geometrische Strukturen in der Mathematik, Mathematischen Instituts, Munster, Heft 78 (1999), http://wwwmath.uni-muenster.de/math/inst/sfb/;.

[210] J.-L. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups, Bull. Soc. Math. France 129 (2001), 115-139.

[211] A. Valette, Dirac induction for semisimple Lie groups having one conjugacy class of Cartan subgroups, Operator algebras and their connections with topology and ergodic theory (Busteni, 1983), Lecture Notes in Mathematics 1132, Springer-Verlag, Berlin-New York, 1985, pp.526-555.

[212] A. Valette, K-theory for the reduced C*-algebra of a semisimple Lie group with real rank 1 and finite centre, Oxford Q. J. Math. (Ser. 2) 35 (1984), 341-359.

[213] A. Valette, The conjecture of idempotents: a survey of the C*-algebraic approach, Bull. Soc. Math. Belg. Ser. A 41 (1989), 485-521.

[214] A. Valette, On the Baum-Connes assembly map, preprint (1996).

[215] A. Valette, On the Haagerup inequality and groups acting on \widetilde A_n-buildings, Ann. Inst. Fourier (Grenoble) 47 (1997), 1195-1208.

[216] A. Valette, On Godement's characterisation of amenability, Bull. Austral. Math. Soc. 57 (1998), 153-158.

[217] A. Valette, Introduction to the Baum-Connes conjecture, From notes taken by Indira Chatterji. With an appendix by Guido Mislin. Lectures in Mathematics ETH Zürich, Birkhauser, Basel, 2002.

[218] M.F. Vigneras, Principe de Selberg et integrales orbitales generalisees pour les fonctions a decroissance rapide sur un groupe reductif p-adique, preprint (1992).

[219] A. Wassermann, Une demonstration de la conjecture de Connes-Kasparov pour les groupes de Lie lineaires connexes reductifs, C. R. Acad. Sci. Paris, Ser. I Math. 304 (1987), 559-562.

[220] S. Wassermann, Exact C*-algebras and related topics, Res. Inst. of Math. Lecture Note Series 19, Seoul National University, Seoul, South Korea, 1994.

[221] Y. Watatani, Property (T) of Kazhdan implies property (FA) of Serre, Math. Japonica 27 (1981), 97-103.

[222] S. Weinberger, Homotopy invariance of eta invariants, Proc. Nat. Acad. Sci. USA 85 (1988), 5362-5363.

[223] S. Weinberger, Aspects of the Novikov conjecture, Contemporary Math. 105 (1990), 281-297.

[224] G. L. Yu, Coarse Baum-Connes conjecture, K-Theory 9 (1995), 199-221.

[225] G. L. Yu, Baum-Connes conjecture and coarse geometry, K-Theory 9 (1995), 223-231.

[226] G. L. Yu, Localization algebras and the coarse Baum-Connes conjecture, K-Theory 11 (1997), 307-318.

[227] G. L. Yu, The Novikov conjecture for groups with finite asymptotic dimension, Annals of Mathematics (2) 147 (1998), 325-355.

[228] G. L. Yu, The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into a Hilbert space, Inventiones Mathematicae 138 (2000), 201-240.

[229] D.N. Zep, Structure of the group C*-algebra of the group of affine transformations of the real line, Funct. Anal. Appl. 9 (1975), 58-60.

[230] I. P. Zois, Black hole entropy, topological entropy and the Baum-Connes conjecture in K-Theory, J. Phys. A 35 (2002), 3015-3023.