Part II, Free actions of compact groups on C*-algebras

被引：4

作者：

Schwieger, Kay ^{[1
]}

Wagner, Stefan ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

[2] Univ Hamburg, Fachbereich Math Bereich Algebra & Zahlentheorie, Bundesstr 55 Geomatikum, DE-20146 Hamburg, Germany

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2017年 / 11卷 / 02期

基金：

芬兰科学院;

关键词：

Weakly cleft action; C* -algebra; factor system; cocycle action; OPERATOR-ALGEBRAS; CROSSED-PRODUCTS; ERGODIC ACTIONS; QUANTUM GROUPS; STAR-ALGEBRAS; FINITE-GROUPS; CONSTRUCTION; EXTENSIONS;

D O I：

10.4171/JNCG/11-2-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a simple class of free actions of non-Abelian groups on unital C* -algebras, namely cleft actions. These are characterized by the fact that the associated noncommutative vector bundles are trivial. In particular, we provide a complete classification theory for these actions and describe its relations to classical principal bundles.

引用

页码：641 / 668

页数：28

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