The Inner Amenability of the Generalized Thompson Group
Operator Algebras
2007-05-23 v3 Group Theory
Abstract
In this paper we prove that the general version, F(N) of the Thompson group is inner amenable. As a consequence we generalize a result of P.Jolissaint. To do so, we prove first that F(N) together with a normal subgroup are i.c.c (infinite conjugacy classes) groups. Then, we investigate the relative McDuff property out of which we extract property for the group von Neumann algebras involved. By a result of E.G.Effros, F(N) follows inner amenable.
Cite
@article{arxiv.math/0404552,
title = {The Inner Amenability of the Generalized Thompson Group},
author = {Gabriel Picioroaga},
journal= {arXiv preprint arXiv:math/0404552},
year = {2007}
}
Comments
A "Background" section has been added; to appear in Proceedings of the AMS