Skip to main content
Article thumbnail
Location of Repository

The Chern-Connes character is not rationally injective

By Michael Puschnigg

Abstract

We show that the Chern-Connes character from Kasparov's bivariant K-theory to bivariant local cyclic cohomology is not always rationally injective. Counterexamples are provided by the reduced group $C^*$-algebras of word-hyperbolic groups with Kazhdan's property (T). The proof makes essential use of Skandalis' work on K-nuclearity and of Lafforgue's recent demonstration of the Baum-Connes conjecture with coefficients for word-hyperbolic groups

Topics: Mathematics - K-Theory and Homology, 19K35, 46L80, 22D25
Year: 2011
OAI identifier: oai:arXiv.org:1102.5262
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1102.5262 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.