2011/02/25 by Michael Puschnigg, Puschnigg, Michael
Mathematics · Physics and Astronomy · #19K35 #22D25 #46L80 #Advanced Operator Algebra Research #Character (mathematics) #FOS: Mathematics #Geometry #Injective function #K-Theory and Homology (math.KT) #Linguistics #Mathematics #Philosophy #Pure mathematics #Quantum Mechanics and Applications #Spectral Theory in Mathematical Physics #math.KT #msc:19K35 #msc:22D25 #msc:46L80
paper · pdf · doi:10.48550/arxiv.1102.5262
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2011/02/25 · arxiv created 2011/04/12 · arxiv updated 2011/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.