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An Isaac Newton Institute Workshop

Noncommutative Geometry and Cyclic Cohomology

Hopf Equivariant Cyclic (Co)Homology and Morita Invariance (Joint work with M. Khalkhali)

Authors: Atabey Kaygun (University of Western Ontario), Masoud Khalkhali (University of Western Ontario)

Abstract

We will define a Hopf equivariant cyclic (co)homology theory for Hopf module algebras and coalgebras with coefficients, and prove that our theory is Morita invariant. We will also give several spectral sequences relating our equivariant theory with Hopf cyclic (co)homology of module algebras and coalgebras.