Hopf--Hochschild (co)homology of module algebras

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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.
19 Pages. Theorem 3.7 and Corollary 4.4 modified

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K-Theory and Homology, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/113886

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606340
 http://arxiv.org/abs/math/0606340

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arXiv