An Imprimitivity Theorem for Partial Actions

2012/09/18 by Damián Ferraro, Ferraro, Damián
Mathematics · #46L05 (Primary) 46L55 (Secondary) #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05 #msc:46L55

paper · pdf · doi:10.48550/arxiv.1209.4092

arxiv created 2012/09/18 · openalex publication_date 2012/09/18 · arxiv updated 2012/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• A symmetric imprimitivity theorem for commuting proper actions
• Proper actions on imprimitivity bimodules and decompositions of Morita equivalences
• Naturality of Symmetric Imprimitivity Theorems
• Description of Partial actions
• Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version)