Morita invariance of equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids

Abstract

We investigate the equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids and derive their Morita invariance. For this, we use the tools developed by McCarthy for $k$-linear categories and subsequently by Kaygun and Khalkhali for a certain class of categories, called as $H$-categories, for a Hopf algebra $H$.

13 pages

References in corpus (1)

• Quantum groupoids

Cited by in corpus (1)

• Cycles over DGH-semicategories and pairings in categorical Hopf-cyclic cohomology