Enveloping actions and Takai duality for partial actions
Operator Algebras
2018-03-28 v2
Abstract
We show that any continuous partial action on a topological space has a unique enveloping action, i.e. it is the restriction of a global action. In the case of C^*-algebras we prove that any partial action has an enveloping action up to Morita equivalence. The study of enveloping actions up to Morita equivalence reveals the form that Takai duality takes for partial actions.
Cite
@article{arxiv.math/0007109,
title = {Enveloping actions and Takai duality for partial actions},
author = {Fernando Abadie},
journal= {arXiv preprint arXiv:math/0007109},
year = {2018}
}
Comments
Subsection 6.2 has been reorganized due to an error in Theorem 6.9, which has been corrected in the present version. Also some other minor modifications have been made