Equivariant Poincaré duality for quantum group actions.

Ryszard Nest; Christian Voigt

Equivariant Poincaré duality for quantum group actions.

Institut for Matematiske Fag

23 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	258
Udgave nummer	5
Sider (fra-til)	1466-1503
Antal sider	37
ISSN	0022-1236
Status	Udgivet - 1 mar. 2010

Citationsformater

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AB - 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.

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Equivariant Poincaré duality for quantum group actions.

Abstract

Fingeraftryk

Citationsformater