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Construction of globalizations for partial actions on rings, algebras, \(C^\ast\)-algebras and Hilbert bimodules. (English) Zbl 1398.46055

Summary: We give a necessary condition for a partial action on a ring to have globalization. We also show that every partial action on a \(C^\ast\)-algebra satisfying this condition admits a globalization and, finally, we use the linking algebra of a Hilbert module to translate our condition to the realm of partial actions on Hilbert modules.

MSC:

46L55 Noncommutative dynamical systems
46L05 General theory of \(C^*\)-algebras
46L40 Automorphisms of selfadjoint operator algebras
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