Surveys of the Baum-Connes Conjecture

put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here put text here


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

    Baum-Connes Conjecture Home GFA Home