Inner amenability for groups and central sequences in factors
Operator Algebras
2019-02-20 v1 Group Theory
Abstract
We show that a large class of i.c.c., countable, discrete groups satisfying a weak negative curvature condition are not inner amenable. By recent work of Hull and Osin, our result recovers that mapping class groups and Out(F_n) are not inner amenable. We also show that the group-measure space constructions associated to free, strongly ergodic p.m.p. actions of such groups do not have property Gamma of Murray and von Neumann.
Keywords
Cite
@article{arxiv.1307.5002,
title = {Inner amenability for groups and central sequences in factors},
author = {Ionut Chifan and Thomas Sinclair and Bogdan Udrea},
journal= {arXiv preprint arXiv:1307.5002},
year = {2019}
}
Comments
first version. comments welcome!