On sofic approximations of non amenable groups
Group Theory
2024-05-07 v2 Dynamical Systems
Logic
Operator Algebras
Abstract
In this paper we exhibit for every non amenable group that is initially sub-amenable (sometimes also referred to as LEA), two sofic approximations that are not conjugate by any automorphism of the universal sofic group. This addresses a question of Paunescu and generalizes the Elek-Szabo uniqueness theorem for sofic approximations.
Keywords
Cite
@article{arxiv.2306.04713,
title = {On sofic approximations of non amenable groups},
author = {Ben Hayes and Srivatsav Kunnawalkam Elayavalli},
journal= {arXiv preprint arXiv:2306.04713},
year = {2024}
}
Comments
10 pages, no figures. To appear in Mathematische Zeitschrift