An Imprimitivity Theorem for Partial Actions

Abstract

We define proper, free and commuting partial actions on upper semicontinuous bundles of $C^{\ast }-$algebras. With such, we construct the $C^{\ast }-$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.

References in corpus (2)

• Partial dynamical systems and C*-algebras generated by partial isometries
• Fell bundles and imprimitivity theorems