Geodesic
Hopf-Hochschild (co)homology of module algebras
Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 451-472.

Voir la notice de l'article provenant de la source International Press of Boston

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 that this (co)homology, called Hopf-Hochschild (co)homology, can also be defined as a derived functor on the category of representations of an equivariant analogue of the enveloping algebra 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.
DOI : 10.4310/HHA.2007.v9.n2.a17
Classification : 16E40
Keywords: Hochschild cohomology, module algebra, Hopf algebra, bialgebra, Morita invariance 
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     author = {Atabey Kaygun},
     title = {Hopf-Hochschild (co)homology of module algebras},
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     pages = {451--472},
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     language = {en},
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Atabey Kaygun. Hopf-Hochschild (co)homology of module algebras. Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 451-472. doi : 10.4310/HHA.2007.v9.n2.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n2.a17/

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