Bivariant Hopf cyclic cohomology

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dc.creatorKaygun, Atabey
dc.creatorKhalkhali, Masoud
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:17:17Z
dc.date.available2026-07-07T07:17:17Z
dc.descriptionFor module algebras and module coalgebras over an arbitrary bialgebra, we define two types of bivariant cyclic cohomology groups called bivariant Hopf cyclic cohomology and bivariant equivariant cyclic cohomology. These groups are defined through an extension of Connes' cyclic category $Λ$. We show that, in the case of module coalgebras, bivariant Hopf cyclic cohomology specializes to Hopf cyclic cohomology of Connes and Moscovici and its dual version by fixing either one of the variables as the ground field. We also prove an appropriate version of Morita invariance for both of these theories.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0606341
dc.identifierhttp://arxiv.org/abs/math/0606341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113887
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.titleBivariant Hopf cyclic cohomology
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