English

Construction of enveloping actions

Operator Algebras 2021-08-12 v3 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1209.4094,
  title  = {Construction of enveloping actions},
  author = {Damián Ferraro},
  journal= {arXiv preprint arXiv:1209.4094},
  year   = {2021}
}

Comments

Several results from the previous version have been improved

R2 v1 2026-06-21T22:07:34.894Z