2003/04/22 by Vincent Lafforgue
Mathematics · #math.OA #msc:19K35 #msc:22E45 #msc:46L80
published as Proceedings of the ICM, Beijing 2002, vol. 2, 795--812
arxiv created 2003/04/22 · arxiv updated 2009/11/30
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.