Part II, Free Actions of Compact Groups on C*-Algebras

Fuente: arXiv
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Auteurs principaux: Schwieger, Kay, Wagner, Stefan
Format: Preprint
Publié: 2015
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author Schwieger, Kay
Wagner, Stefan
author_facet Schwieger, Kay
Wagner, Stefan
contents We study a simple subclass 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.
format Preprint
id arxiv_https___arxiv_org_abs_1508_07904
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle Part II, Free Actions of Compact Groups on C*-Algebras
Schwieger, Kay
Wagner, Stefan
Operator Algebras
Quantum Algebra
46L85, 37B05 (primary), 55R10, 16D70 (secondary)
We study a simple subclass 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.
title Part II, Free Actions of Compact Groups on C*-Algebras
topic Operator Algebras
Quantum Algebra
46L85, 37B05 (primary), 55R10, 16D70 (secondary)
url https://arxiv.org/abs/1508.07904