Surveys of the Baum-Connes Conjecture


Selected References

Baum, Paul; Connes, Alain. Geometric K-theory for Lie groups and foliations. Enseign. Math. (2) 46 (2000), no. 1-2, 3-42.   MR
Baum, Paul; Connes, Alain; Higson, Nigel. Classifying space for proper actions and K-theory of group C*-algebras. C*-algebras: 1943-1993 (San Antonio, TX, 1993), 240-291, Contemp. Math., 167, Amer. Math. Soc., Providence, RI, 1994.   MR
Higson, Nigel. The Baum-Connes conjecture. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 637-646 (electronic).   MR
Higson, Nigel; Guentner, Erik. Group C*-algebras and K-theory. Noncommutative geometry, 137-251, Lecture Notes in Math., 1831, Springer, Berlin, 2004.   MR
Kasparov, G. G. Operator K-theory and its applications: elliptic operators, group representations, higher signatures, C*-extensions. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 987-1000, PWN, Warsaw, 1984.   MR
Kreck, Matthias; Lueck, Wolfgang. The Novikov conjecture. Geometry and algebra. Oberwolfach Seminars, 33. Birkhaeuser Verlag, Basel, 2005. xvi+267 pp. ISBN: 3-7643-7141-2   MR
Lafforgue, V. Banach KK-theory and the Baum-Connes conjecture. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 795-812, Higher Ed. Press, Beijing, 2002.   MR
Lafforgue, Vincent. Banach KK-theory and the Baum-Connes conjecture. European Congress of Mathematics, Vol. II (Barcelona, 2000), 31-46, Progr. Math., 202, Birkhaeuser, Basel, 2001.   MR
Lueck, Wolfgang; Reich, Holger. The Baum-Connes and the Farrell-Jones conjectures in K- and L-theory. Handbook of K-theory. Vol. 1, 2, 703-842, Springer, Berlin, 2005.   MR
Mislin, Guido; Valette, Alain. Proper group actions and the Baum-Connes conjecture. Advanced Courses in Mathematics. CRM Barcelona. Birkhaeuser Verlag, Basel, 2003. viii+131 pp. ISBN: 3-7643-0408-1   MR
Schick, Thomas. Index theory and the Baum-Connes conjecture. Geometry Seminars. 2001-2004 (Italian), 231-280, Univ. Stud. Bologna, Bologna, 2004.   MR
Seminaire Bourbaki. Vol. 1997/98. (French) [Bourbaki Seminar. Vol. 1997/98] Exposes 835-849. Asterisque No. 252 (1998). Societe Mathematique de France, Paris, 1998. pp. i-iv and 1-367.   MR
Skandalis, Georges. Progres recents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue. (French) [Recent progress on the Baum-Connes conjecture: the contribution of Vincent Lafforgue] Seminaire Bourbaki, Vol. 1999/2000. Asterisque No. 276 (2002), 105-135.   MR
Valette, Alain. Introduction to the Baum-Connes conjecture. From notes taken by Indira Chatterji. With an appendix by Guido Mislin. Lectures in Mathematics ETH Zuerich. Birkhaeuser Verlag, Basel, 2002. x+104 pp. ISBN: 3-7643-6706-7   MR
Valette, Alain. On the Baum-Connes assembly map for discrete groups. With an appendix by Dan Kucerovsky. Adv. Courses Math. CRM Barcelona, Proper group actions and the Baum-Connes conjecture, 79-124, Birkhaeuser, Basel, 2003.   MR

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