Cyclic cohomology and Hopf algebras

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dc.creatorConnes, Alain
dc.creatorMoscovici, Henri
dc.date1999-04-27
dc.date.accessioned2026-07-07T05:28:51Z
dc.date.available2026-07-07T05:28:51Z
dc.descriptionWe show by a direct computation that, for any Hopf algebra with a modulus-like character, the formulas first introduced in [CM] in the context of characteristic classes for actions of Hopf algebras, do define a cyclic module. This provides a natural generalization of Lie algebra cohomology to the general framework of Noncommutative Geometry, which covers the case of the Hopf algebra associated to n-dimensional transverse geometry [CM] as well as the function algebras of the classical quantum groups.
dc.description12 pages, Plain TeX
dc.identifierhttps://arxiv.org/abs/math/9904154
dc.identifierhttp://arxiv.org/abs/math/9904154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78414
dc.subjectQuantum Algebra
dc.subjectOperator Algebras
dc.subject18G60, 16W30, 19D55, 46L80, 58B30
dc.titleCyclic cohomology and Hopf algebras
dc.typetext

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