Equivariant Cyclic Cohomology of H-Algebras

R. Akbarpour; M. Khalkhali

Equivariant Cyclic Cohomology of H-Algebras

K-Theory and Homology 2007-05-23 v3

Authors: R. Akbarpour , M. Khalkhali

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.

Keywords

equivariant k0-theory yetter-drinfeld algebras hopf algebras hopf-module algebras cyclic cohomology connes pairing

Cite

@article{arxiv.math/0009236,
  title  = {Equivariant Cyclic Cohomology of H-Algebras},
  author = {R. Akbarpour and M. Khalkhali},
  journal= {arXiv preprint arXiv:math/0009236},
  year   = {2007}
}

Comments

Final version to be published in "K-theory". The title has been changed, new examples added and it is shown that our K-theory is isomorphic to the K-theory defined in [14]

Equivariant Cyclic Cohomology of H-Algebras

Abstract

Keywords

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