The Baum-Connes Conjecture and Topology


Selected References

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
Joachim, Michael; Schick, Thomas. Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture. Geometry and topology: Aarhus (1998), 213-226, Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000.   MR
Kasparov, G. G. Equivariant KK-theory and the Novikov conjecture. Invent. Math. 91 (1988), no. 1, 147-201.   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
Kasparov, Gennadi. Novikov's conjecture on higher signatures: the operator K-theory approach. Representation theory of groups and algebras, 79-99, Contemp. Math., 145, Amer. Math. Soc., Providence, RI, 1993.   MR
Keswani, Navin. Relative eta-invariants and C*-algebra K-theory. Topology 39 (2000), no. 5, 957-983.   MR
Novikov conjectures, index theorems and rigidity. Vol. 2. Including papers from the conference held at the Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, September 6-10, 1993. Edited by Steven C. Ferry, Andrew Ranicki and Jonathan Rosenberg. London Mathematical Society Lecture Note Series, 227. Cambridge University Press, Cambridge, 1995. x+364 pp. ISBN: 0-521-49795-7   MR
Schick, Thomas. Operator algebras and topology. Topology of high-dimensional manifolds, No. 1, 2 (Trieste, 2001), 571-660, ICTP Lect. Notes, 9, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2002.   MR

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