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arXiv · 1612.07588

Local cyclic homology of group Banach algebras I: Hyperbolic groups

Michael Puschnigg
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Abstract

We calculate the bivariant local cyclic cohomology of the Banach convolution algebra of summable functions on a word-hyperbolic group. Our result implies that the Banach algebraic assembly map in local cyclic homology is an isomorphism for such a group.

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Michael Puschnigg. 2016-12-22. Local cyclic homology of group Banach algebras I: Hyperbolic groups. https://arxiv.org/abs/1612.07588

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