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

2018/04/29 by Mamta Balodi, Balodi, Mamta · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1804.10898

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.

Cited by

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

Related

• Bivariant Hopf cyclic cohomology
• Cyclic Cohomology of Hopf algebras and Hopf Algebroids
• Hopf--Hochschild (co)homology of module algebras
• Equivariant Cyclic Cohomology of H-Algebras
• A categorical approach to cyclic cohomology of quasi-Hopf algebras and\n Hopf algebroids