Comparisons between periodic, analytic and local cyclic cohomology

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64158We 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.I updated the bibliography and made a few minor changes in notationK-Theory and Homology19D55,18G60Comparisons between periodic, analytic and local cyclic cohomologytext