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arXiv · 1102.5262

The Chern-Connes character is not rationally injective

Michael Puschnigg
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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.

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Michael Puschnigg. 2011-02-25. The Chern-Connes character is not rationally injective. https://arxiv.org/abs/1102.5262

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