Equivariant Cyclic Cohomology of H-Algebras |
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Authors: | R. Akbarpour and M. Khalkhali |
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Affiliation: | (1) Department of Mathematics, University of Western Ontario, London, Ont., Canada, N6A5B7 |
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Abstract: | We define an equivariant K0-theory for Yetter–Drinfeld algebras over a Hopf algebra with an invertible antipode. We then show that this definition can be generalized to all Hopf-module algebras. We show that there exists a pairing, generalizing Connes pairing, between this theory and a suitably defined Hopf algebra equivariant cyclic cohomology theory. |
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Keywords: | cyclic cohomology Hopf algebras equivariant K-theory |
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