Equivariant cyclic homology for quantum groups

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dc.creatorVoigt, Christian
dc.date2006-01-30
dc.date.accessioned2026-07-07T06:59:27Z
dc.date.available2026-07-07T06:59:27Z
dc.descriptionWe define equivariant periodic cyclic homology for bornological quantum groups. Generalizing corresponding results from the group case, we show that the theory is homotopy invariant, stable and satisfies excision in both variables. Along the way we prove Radfords formula for the antipode of a bornological quantum group. Moreover we discuss anti-Yetter-Drinfeld modules and establish an analogue of the Takesaki-Takai duality theorem in the setting of bornological quantum groups.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0601725
dc.identifierhttp://arxiv.org/abs/math/0601725
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107756
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.subject19D55; 16W30; 81R50
dc.titleEquivariant cyclic homology for quantum groups
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