554 research outputs found
The Chern-Connes character is not rationally injective
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 -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
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