Equivariant Hopf Galois extensions and Hopf cyclic cohomology

2010/10/27 by Mohammad Hassanzadeh, Hassanzadeh, M., Bahram Rangipour +1
Mathematics · #16E40 #16W30 #58B34 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1010.5818

openalex publication_date 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the notion of equivariant Hopf Galois extension and apply it as a functor between category of SAYD modules of the Hopf algebras involving in the extension. This generalizes the result of Jara-Stefan and Böhm-Stefan on associating a SAYD modules to any ordinary Hopf Galois extension.

Related

• Equivariant Cyclic Cohomology of H-Algebras
• Morita invariance of equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids
• On Generalized Hopf Galois Extensions
• Galois Theory of Hopf Galois Extensions
• Equivariant Chern classes in Hopf cyclic cohomology