Cup Products in Hopf-Cyclic Cohomology

Bahram Rangipour (Mathematics; Canada); London ON; Masoud Khalkhali (Mathematics Department; Statistics Department; Univerity of Victoria; University of Western Ontario; Victoria BC

arxiv: math/0411003 · v1 · submitted 2004-10-30 · 🧮 math.QA · math.KT

Cup Products in Hopf-Cyclic Cohomology

Masoud Khalkhali (Mathematics Department , University of Western Ontario , London ON , Canada) , Bahram Rangipour (Mathematics , Statistics Department , Univerity of Victoria , Victoria BC This is my paper

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keywords cohomologyproductalgebrashopfhopf-cyclicproductsreducesactions

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We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connes' cup product in ordinary cyclic cohomology. The second cup product generalizes Connes-Moscovici's characteristic map for actions of Hopf algebras on algebras.

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Cup Products in Hopf-Cyclic Cohomology

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