Cyclic Homology of Hopf Comodule Algebras and Hopf Module Coalgebras

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dc.creatorAkbarpour, R.
dc.creatorKhalkhali, M.
dc.date2001-08-19
dc.date2002-12-09
dc.date.accessioned2026-07-07T04:43:02Z
dc.date.available2026-07-07T04:43:02Z
dc.descriptionIn this paper we construct a cylindrical module $A \natural \mathcal{H}$ for an $\mathcal{H}$-comodule algebra $A$, where the antipode of the Hopf algebra $\mathcal{H}$ is bijective. We show that the cyclic module associated to the diagonal of $A \natural \mathcal{H}$ is isomorphic with the cyclic module of the crossed product algebra $A \rtimes \mathcal{H}$. This enables us to derive a spectral sequence for the cyclic homology of the crossed product algebra. We also construct a cocylindrical module for Hopf module coalgebras and establish a similar spectral sequence to compute the cyclic cohomology of crossed product coalgebras.
dc.descriptionFinal version, to appear in "Communications in Algebra"
dc.identifierhttps://arxiv.org/abs/math/0108126
dc.identifierhttp://arxiv.org/abs/math/0108126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62040
dc.subjectK-Theory and Homology
dc.titleCyclic Homology of Hopf Comodule Algebras and Hopf Module Coalgebras
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