We define the notion of equivariant -Hopf Galois extension and apply it as a functor between the categories of stable anti-Yetter–Drinfeld (SAYD) modules of the -Hopf algebras involved in the extension. This generalizes the result of Jara–Ştefan and Böhm–Ştefan on associating a SAYD modules to any ordinary Hopf Galois extension.
Cite this article
Mohammad Hassanzadeh, Bahram Rangipour, Equivariant Hopf Galois extensions and Hopf cyclic cohomology. J. Noncommut. Geom. 7 (2013), no. 1, pp. 105–133DOI 10.4171/JNCG/110