English

Stable finiteness does not imply linear soficity

Rings and Algebras 2023-08-16 v1 Group Theory Logic

Abstract

We prove that there exist finitely generated, stably finite algebras which are non linear sofic. This was left open by Arzhantseva and P\u{a}unescu in 2017.

Keywords

Cite

@article{arxiv.2210.11650,
  title  = {Stable finiteness does not imply linear soficity},
  author = {Be'eri Greenfeld},
  journal= {arXiv preprint arXiv:2210.11650},
  year   = {2023}
}
R2 v1 2026-06-28T04:08:22.135Z