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Local cyclic homology of group Banach algebras of "non-positively curved" discrete groups

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arxiv 2306.00746 v1 pith:TMPULUMZ submitted 2023-06-01 math.KT

classification math.KT
keywords cyclicdiscretegroupgroupshomologylocalactingalgebras
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We calculate the local cyclic homology of group Banach-algebras of discrete groups acting properly, isometrically and cocompactly on a CAT(0)-space.

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Cited by 1 Pith paper

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  1. Spectral Invariance and Gevrey Regularity for Groups with strongly subexponential growth

    math.OA 2026-07 accept novelty 6.5 of 10

    Gevrey-Beurling operator algebras inside unitized q-pseudofunction algebras are inverse-closed for unimodular groups of strong subexponential growth, yielding spectral invariance and K-theory isomorphisms.

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