Banach KK-theory and the Baum-Connes conjecture

Details Banach KK-theory and the Baum-Connes conjecture Banach KK-theory and the Baum-Connes conjecture

2003-04-22

arxiv.org/abs/math/0304342v1

Proceedings of the ICM, Beijing 2002, vol. 2, 795--812

Mathematics

Operator Algebras

Scientific paper

The report below describes the applications of Banach KK-theory to a
conjecture of P. Baum and A. Connes about the K-theory of group $C^*$-algebras,
and a new proof of the classification by Harish-Chandra, the construction by
Parthasarathy and the exhaustion by Atiyah and Schmid of the discrete series
representations of connected semi-simple Lie groups.

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