R. Akbarpour

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math.KT2001

Cyclic Homology of Hopf Comodule Algebras and Hopf Module Coalgebras

R. Akbarpour, M. Khalkhali

In this paper we construct a cylindrical module $A ♮ H$ for an $H$ -comodule algebra $A$ , where the antipode of the Hopf algebra $H$ is bijectiv…

math.KT2001

Cyclic Cohomology of Crossed Coproduct Coalgebras

R. Akbarpour, M. Khalkhali

We extend our work in~\cite{rm01} to the case of Hopf comodule coalgebras. We introduce the cocylindrical module $C ♮ H$ , where $H$ is a Hopf algebra…

math.KT2000

Hopf Algebra Equivariant Cyclic Homology and Cyclic Homology of Crossed Product Algebras

R. Akbarpour, M. Khalkhali

We introduce the cylindrical module $A ♮ H$ , where $H$ is a Hopf algebra and $A$ is a Hopf module algebra over $H$ . We show that there exists a…

math.KT2000

Equivariant Cyclic Cohomology of H-Algebras

R. Akbarpour, M. Khalkhali

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…