Equivariant Hopf Galois extensions and Hopf cyclic cohomology
arXiv:1010.5818
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.
Final version, 33 pages, to appear in the Journal of Noncommutative Geometry