Relative C*-simplicity and characterizations for normal subgroups
Operator Algebras
2022-10-21 v3 Group Theory
Abstract
The notion of a plump subgroup was recently introduced by Amrutam. This is a relativized version of Powers' averaging property, and it is known that Powers' averaging property is equivalent to C*-simplicity. With this in mind, we introduce a relativized notion of C*-simplicity, and show that for normal subgroups it is equivalent to plumpness, along with several other characterizations.
Cite
@article{arxiv.1910.13495,
title = {Relative C*-simplicity and characterizations for normal subgroups},
author = {Dan Ursu},
journal= {arXiv preprint arXiv:1910.13495},
year = {2022}
}
Comments
15 pages; To appear in the Journal of Operator Theory. This is the accepted manuscript, which includes minor corrections made during the refereeing process. Author funding information was also corrected