Invariant Cyclic Homology

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dc.creatorKhalkhali, M.
dc.creatorRangipour, B.
dc.date2002-07-14
dc.date2003-02-27
dc.date.accessioned2026-07-07T04:49:40Z
dc.date.available2026-07-07T04:49:40Z
dc.descriptionWe define a noncommutative analogue of invariant de Rham cohomology. More precisely, for a triple $(A,\mathcal{H},M)$ consisting of a Hopf algebra $\mathcal{H}$, an $\mathcal{H}$-comodule algebra $A$, an $\mathcal{H}$-module $M$, and a compatible grouplike element $σ$ in $\mathcal{H}$, we define the cyclic module of invariant chains on $A$ with coefficients in $M$ and call its cyclic homology the invariant cyclic homology of $A$ with coefficients in $M$. We also develop a dual theory for coalgebras. Examples include cyclic cohomology of Hopf algebras defined by Connes-Moscovici and its dual theory. We establish various results and computations including one for the quantum group $SL(q,2)$.
dc.descriptionMinor typos corrected. Final version to appear in K-theory
dc.identifierhttps://arxiv.org/abs/math/0207118
dc.identifierhttp://arxiv.org/abs/math/0207118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64511
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.titleInvariant Cyclic Homology
dc.typetext

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