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Equivariant Cyclic Cohomology of H-Algebras
Authors:R Akbarpour and M Khalkhali
Institution:(1) Department of Mathematics, University of Western Ontario, London, Ont., Canada, N6A5B7
Abstract:We define an equivariant K 0-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 Connesrsquo pairing, between this theory and a suitably defined Hopf algebra equivariant cyclic cohomology theory.
Keywords:cyclic cohomology  Hopf algebras  equivariant K-theory
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