Equivariant cyclic homology for quantum groups

Details Equivariant cyclic homology for quantum groups Equivariant cyclic homology for quantum groups

2006-01-30

arxiv.org/abs/math/0601725v1

Mathematics

K-Theory and Homology

21 pages

Scientific paper

We 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.

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