INDEX THEORY FOR ACTIONS OF COMPACT LIE GROUPS ON C*-ALGEBRAS

被引：0

作者：

Wahl, Charlotte ^{[1
]}

机构：

[1] Leibniz Forsch Stelle Gottinger Akad Wissensch, D-30169 Hannover, Germany

来源：

JOURNAL OF OPERATOR THEORY | 2010年 / 63卷 / 01期

关键词：

C*-dynamical system; index theory; principal; saturated; KK-theory; spectral triple; NONCOMMUTATIVE GEOMETRY; K-THEORY; QUANTUM; FORMULA; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the index theory for actions of compact Lie groups on C*-algebras with an emphasis on principal actions. Given an invariant semifinite faithful trace on the C*-algebra we get semifinite spectral triples. For circle actions we consider the relation to the dual Pimsner-Voiculescu sequence. On the way we show that the notions "saturated" and "principal" are equivalent for actions by compact Lie groups.

引用

页码：217 / 242

页数：26

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