Comparisons between periodic, analytic and local cyclic cohomology

Details Comparisons between periodic, analytic and local cyclic cohomology Comparisons between periodic, analytic and local cyclic cohomology

2002-05-27

arxiv.org/abs/math/0205276v2

Mathematics

K-Theory and Homology

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

Scientific paper

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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