Cup Products in Hopf-Cyclic Cohomology

Details Cup Products in Hopf-Cyclic Cohomology Cup Products in Hopf-Cyclic Cohomology

2004-10-30

arxiv.org/abs/math/0411003v1

Mathematics

Quantum Algebra

7 pages. To appear in C. R. Acad. Sci. Paris

Scientific paper

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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