Equivariant Cyclic Cohomology of H-Algebras

Details Equivariant Cyclic Cohomology of H-Algebras Equivariant Cyclic Cohomology of H-Algebras

2000-09-27

arxiv.org/abs/math/0009236v3

Mathematics

K-Theory and Homology

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

Scientific paper

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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