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Comparisons between periodic, analytic and local cyclic cohomology

Ralf Meyer

math.KTarXiv:math/0205276

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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