Comparisons between periodic, analytic and local cyclic cohomology

2002/05/27 by Ralf Meyer, Meyer, Ralf
Mathematics · #18G60 #19D55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #K-Theory and Homology (math.KT) #math.KT #msc:18G60 #msc:19D55

paper · pdf · doi:10.48550/arxiv.math/0205276

I updated the bibliography and made a few minor changes in notation

openalex publication_date 2002/05/27 · arxiv created 2003/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute periodic, analytic and local cyclic cohomology for convolution algebras of compact Lie groups in order to exhibit differences between these theories. A surprising result is that the periodic and analytic cyclic cohomology of the smooth convolution algebras differ, although these algebras have finite homological dimension.

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