An Imprimitivity Theorem for Partial Actions

preprint2012arXivOpen access

Abstract

We define proper, free and commuting partial actions on upper semicontinuous bundles of C∗−C^*-algebras. With such, we construct the C∗−C^*-algebra induced by a partial action and a partial actions on that algebra. Using those action we give a generalization, to partial actions, of Raeburn's Symmetric Imprimitivity Theorem.

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