Hopf--Hochschild (co)homology of module algebras

dc.creatorKaygun, Atabey
dc.date2006-06-14
dc.date2006-08-24
dc.date.accessioned2026-07-07T07:17:17Z
dc.date.available2026-07-07T07:17:17Z
dc.descriptionWe 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.
dc.description19 Pages. Theorem 3.7 and Corollary 4.4 modified
dc.identifierhttps://arxiv.org/abs/math/0606340
dc.identifierhttp://arxiv.org/abs/math/0606340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113886
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.titleHopf--Hochschild (co)homology of module algebras
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