$C^*$-simplicity for groups with non-elementary convergence group actions
Operator Algebras
2011-08-12 v2 Dynamical Systems
Group Theory
Abstract
We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and thus its non-trivial subnormal subgroups are -simple.
Keywords
Cite
@article{arxiv.1106.2618,
title = {$C^*$-simplicity for groups with non-elementary convergence group actions},
author = {Yoshifumi Matsuda and Shin-ichi Oguni and Saeko Yamagata},
journal= {arXiv preprint arXiv:1106.2618},
year = {2011}
}
Comments
7 pages