Part I, Free Actions of Compact Abelian Groups on C*-Algebras
Operator Algebras
2025-12-24 v3 Quantum Algebra
Representation Theory
Abstract
We study free and compact group actions on unital C*-algebras. In particular, we provide a complete classification theory of these actions for compact Abelian groups and explain its relation to the classical classification theory of principal bundles.
Keywords
Cite
@article{arxiv.1505.00688,
title = {Part I, Free Actions of Compact Abelian Groups on C*-Algebras},
author = {Kay Schwieger and Stefan Wagner},
journal= {arXiv preprint arXiv:1505.00688},
year = {2025}
}