The Chern-Connes character is not rationally injective

Details The Chern-Connes character is not rationally injective The Chern-Connes character is not rationally injective

2011-02-25

arxiv.org/abs/1102.5262v2

Mathematics

K-Theory and Homology

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The Chern-Connes character is not rationally injective does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Chern-Connes character is not rationally injective, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Chern-Connes character is not rationally injective will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710137