Part I, Free Actions of Compact Abelian Groups on C*-Algebras (1505.00688v3)

Published 4 May 2015 in math.OA, math.QA, and math.RT

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.