Construction of enveloping actions

Abstract

We study the problem of constructing a globalization for partial actions on *-algebras, C*-algebras and Hilbert modules. For the first ones we give a necessary condition for the existence of a globalization and we prove this conditions is necessary and sufficient for C*-algebras. Using the linking algebra of a Hilbert module we translate this condition to the realm of partial action on Hilbert modules.

arXiv commentSeveral results from the previous version have been improved

Cited by in corpus (4)

• Amenability and approximation properties for partial actions and Fell bundles
• Globalization for geometric partial comodules
• Decomposable partial actions
• Partial C*-dynamics and Rokhlin dimension