Equivariant Hopf Galois extensions and Hopf cyclic cohomology

Details Equivariant Hopf Galois extensions and Hopf cyclic cohomology Equivariant Hopf Galois extensions and Hopf cyclic cohomology

2010-10-27

arxiv.org/abs/1010.5818v2

Mathematics

K-Theory and Homology

Final version, 33 pages, to appear in the Journal of Noncommutative Geometry

Scientific paper

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 B\"ohm-Stefan on
associating a SAYD modules to any ordinary Hopf Galois extension.

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