Banach KK-theory and the Baum-Connes conjecture
Operator Algebras
2007-05-23 v1
Abstract
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 -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.
Cite
@article{arxiv.math/0304342,
title = {Banach KK-theory and the Baum-Connes conjecture},
author = {Vincent Lafforgue},
journal= {arXiv preprint arXiv:math/0304342},
year = {2007}
}