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

Published 4 May 2015 in math.OA, math.QA, and math.RT | (1505.00688v3)

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.

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