2000/09/27 by R. Akbarpour, Akbarpour, R., Masoud Khalkhali +2
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT
paper · pdf · doi:10.48550/arxiv.math/0009236
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]
openalex publication_date 2000/09/27 · arxiv created 2003/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define an equivariant K0-theory for 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.