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Pré-Publication, Document De Travail Année : 2016

Local cyclic homology of group Banach algebras I: Hyperbolic groups

Michael Puschnigg
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Résumé

We calculate the bivariant local cyclic cohomology of the Banach convolution algebra of summable functions on a word-hyperbolic group. Our results imply that the $\ell^1$-assembly map in local cyclic homology is an isomorphism for hyperbolic groups.

Dates et versions

hal-01471910 , version 1 (20-02-2017)

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Michael Puschnigg. Local cyclic homology of group Banach algebras I: Hyperbolic groups. 2016. ⟨hal-01471910⟩
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