Finite Factor Representations of Higman-Thompson groups
Representation Theory
2012-12-12 v2 Dynamical Systems
Group Theory
Abstract
We prove that the only finite factor-representations of the Higman-Thompson groups , are the regular representations and scalar representations arising from group abelianizations. As a corollary, we obtain that any measure-preserving ergodic action of a simple Higman-Thompson group must be essentially free. Finite factor representations of other classes of groups are also discussed.
Cite
@article{arxiv.1212.1230,
title = {Finite Factor Representations of Higman-Thompson groups},
author = {Artem Dudko and Konstantin Medynets},
journal= {arXiv preprint arXiv:1212.1230},
year = {2012}
}
Comments
Typos fixed