Equivariant cyclic homology for quantum groups
K-Theory and Homology
2007-05-23 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math/0601725,
title = {Equivariant cyclic homology for quantum groups},
author = {Christian Voigt},
journal= {arXiv preprint arXiv:math/0601725},
year = {2007}
}
Comments
21 pages