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New Holomorphically Closed Subalgebras of C*-Algebras of Hyperbolic Groups

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Abstract

We present a new construction of dense, isospectral subalgebras of unconditional Banach algebras over word-hyperbolic groups. We study the algebras thus obtained and derive applications to delocalized L 2-invariants of closed Riemannian manifolds of negative curvature and to the local cyclic cohomology of the reduced group C*-algebras of word-hyperbolic groups.

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  1. Institut de Mathématiques de Luminy, UMR 6206 du CNRS, Université de la Méditerranée, 13288, Marseille, Cedex 9, France

    Michael Puschnigg

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  1. Michael Puschnigg
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Correspondence to Michael Puschnigg.

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Puschnigg, M. New Holomorphically Closed Subalgebras of C*-Algebras of Hyperbolic Groups. Geom. Funct. Anal. 20, 243–259 (2010). https://doi.org/10.1007/s00039-010-0062-y

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  • DOI: https://doi.org/10.1007/s00039-010-0062-y

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