Equivariant Poincar\'e duality for quantum group actions
K-Theory and Homology
2009-11-16 v2 Operator Algebras
Abstract
We extend the notion of Poincar\'e duality in KK-theory to the setting of quantum group actions. An important ingredient in our approach is the replacement of ordinary tensor products by braided tensor products. Along the way we discuss general properties of equivariant KK-theory for locally compact quantum groups, including the construction of exterior products. As an example, we prove that the standard Podle\'s sphere is equivariantly Poincar\'e dual to itself.
Cite
@article{arxiv.0902.3987,
title = {Equivariant Poincar\'e duality for quantum group actions},
author = {Ryszard Nest and Christian Voigt},
journal= {arXiv preprint arXiv:0902.3987},
year = {2009}
}
Comments
Minor changes. To appear in J. Funct. Anal