Cup products in Hopf-cyclic cohomology |
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| Authors: | Masoud Khalkhali Bahram Rangipour |
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| Affiliation: | 1. Department of Mathematics, University of Western Ontario, London ON, Canada;2. Mathematics and Statistics, University of Victoria, Victoria B.C., Canada |
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| Abstract: | 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. To cite this article: M. Khalkhali, B. Rangipour, C. R. Acad. Sci. Paris, Ser. I 340 (2005). |
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