Schwieger , K & Wagner , S 2017 , ' Part II, Free actions of compact groups on C*-algebras ' , Journal of Noncommutative Geometry , vol. 11 , no. 2 , pp. 641-668 . https://doi.org/10.4171/JNCG/11-2-6
Title: | Part II, Free actions of compact groups on C*-algebras |
Author: | Schwieger, Kay; Wagner, Stefan |
Contributor organization: | Department of Mathematics and Statistics |
Date: | 2017 |
Language: | eng |
Number of pages: | 28 |
Belongs to series: | Journal of Noncommutative Geometry |
ISSN: | 1661-6952 |
DOI: | https://doi.org/10.4171/JNCG/11-2-6 |
URI: | http://hdl.handle.net/10138/307774 |
Abstract: | 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. |
Subject: |
Weakly cleft action
C* -algebra factor system cocycle action OPERATOR-ALGEBRAS CROSSED-PRODUCTS ERGODIC ACTIONS QUANTUM GROUPS STAR-ALGEBRAS FINITE-GROUPS CONSTRUCTION EXTENSIONS 111 Mathematics 114 Physical sciences |
Peer reviewed: | Yes |
Rights: | other |
Usage restriction: | openAccess |
Self-archived version: | acceptedVersion |
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