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Equivariant Cyclic Cohomology of H-Algebras

R. Akbarpour·M. Khalkhali
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Abstract

We define an equivariant $K_0$-theory for \textit{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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R. Akbarpour, M. Khalkhali. 2003-11-27. Equivariant Cyclic Cohomology of H-Algebras. https://arxiv.org/abs/math/0009236

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