Equivariant Poincare duality for quantum group actions

被引：39

作者：

Nest, Ryszard ^{[2
]}

Voigt, Christian ^{[1
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

[2] Univ Kobenhavn, Inst Matemat Fag, DK-2100 Copenhagen, Denmark

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 05期

关键词：

Quantum groups; Kasparov theory; Poincare duality; CROSSED-PRODUCTS; GEOMETRY;

D O I：

10.1016/j.jfa.2009.10.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the notion of Poincare 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 Podles sphere is equivariantly Poincare dual to itself. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：1466 / 1503

页数：38

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