Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591219 | Journal of Functional Analysis | 2010 | 38 Pages |
Abstract
We extend the notion of Poincaré 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 Podleś sphere is equivariantly Poincaré dual to itself.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory