Part II, Free Actions of Compact Groups on C*-Algebras
Operator Algebras
2025-12-24 v3 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.1508.07904,
title = {Part II, Free Actions of Compact Groups on C*-Algebras},
author = {Kay Schwieger and Stefan Wagner},
journal= {arXiv preprint arXiv:1508.07904},
year = {2025}
}