Cyclic Cohomology of Crossed Coproduct Coalgebras

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dc.creatorAkbarpour, R.
dc.creatorKhalkhali, M.
dc.date2001-07-23
dc.date2002-04-30
dc.date.accessioned2026-07-07T04:42:42Z
dc.date.available2026-07-07T04:42:42Z
dc.descriptionWe extend our work in~\cite{rm01} to the case of Hopf comodule coalgebras. We introduce the cocylindrical module $C \natural^{} \mathcal{H}$, where $\mathcal{H}$ is a Hopf algebra with bijective antipode and $C$ is a Hopf comodule coalgebra over $\mathcal{H}$. We show that there exists an isomorphism between the cocyclic module of the crossed coproduct coalgebra $C > \blacktriangleleft \mathcal{H} $ and $Δ(C \natural^{}\mathcal{H}) $, the cocyclic module related to the diagonal of $C \natural^{} \mathcal{H}$. We approximate $HC^{\bullet}(C > \blacktriangleleft \mathcal{H}) $ by a spectral sequence and we give an interpretation for $ \mathsf{E}^0, \mathsf{E}^1$ and $\mathsf{E}^2 $ terms of this spectral sequence.
dc.description18 pages, The paper is totaly revised. The main result is extended to all Hopf algebras with bijective antipode
dc.identifierhttps://arxiv.org/abs/math/0107166
dc.identifierhttp://arxiv.org/abs/math/0107166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61891
dc.subjectK-Theory and Homology
dc.titleCyclic Cohomology of Crossed Coproduct Coalgebras
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