Hopf--Hochschild (co)homology of module algebras
K-Theory and Homology
2007-05-23 v2 Rings and Algebras
Abstract
We define a version of Hochschild homology and cohomology suitable for a class of algebras admitting compatible actions of bialgebras, called module algebras. We show this (co)homology, called Hopf--Hochschild (co)homology, can also be defined as a derived functor on the category of representations of a crossed product algebra. We investigate the relationship of our theory with Hopf cyclic cohomology and also prove Morita invariance of the Hopf--Hochschild (co)homology.
Keywords
Cite
@article{arxiv.math/0606340,
title = {Hopf--Hochschild (co)homology of module algebras},
author = {Atabey Kaygun},
journal= {arXiv preprint arXiv:math/0606340},
year = {2007}
}
Comments
19 Pages. Theorem 3.7 and Corollary 4.4 modified