The universal Hopf cyclic theory

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dc.creatorKaygun, Atabey
dc.date2006-09-11
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:24:44Z
dc.date.available2026-07-07T07:24:44Z
dc.descriptionWe define a Hopf cyclic (co)homology theory in an arbitrary symmetric strict monoidal category. Thus we unify all different types of Hopf cyclic (co)homologies under one single universal theory. We recover Hopf cyclic (co)homology of module algebras, comodule algebras and module coalgebras along with Hopf-Hochschild (co)homology of module algebras. This universal theory also allows us to define the missing Hopf cyclic theory for comodule coalgebras.
dc.identifierhttps://arxiv.org/abs/math/0609311
dc.identifierhttp://arxiv.org/abs/math/0609311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116475
dc.subjectK-Theory and Homology
dc.subjectCategory Theory
dc.titleThe universal Hopf cyclic theory
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