All actions of LERF groups on sets are sofic
Group Theory
2024-07-16 v2 Operator Algebras
Abstract
In this paper, we shall prove that all actions of LERF groups on sets are sofic. As a corollary, we obtain that a large class of generalized wreath products are sofic.
Cite
@article{arxiv.2402.17150,
title = {All actions of LERF groups on sets are sofic},
author = {David Gao},
journal= {arXiv preprint arXiv:2402.17150},
year = {2024}
}
Comments
Comments welcome! Version 2, incorporated comments from Andreas Thom and anonymous referees. In particular, per suggestion from Andreas Thom, all results are now framed in terms of the Chabauty topology. 5 pages