English

On sofic approximations of $\mathbb F_2\times\mathbb F_2$

Group Theory 2020-08-11 v2 Operator Algebras

Abstract

We construct a sofic approximation of F2×F2\mathbb F_2\times\mathbb F_2 that is not essentially a "branched cover" of a sofic approximation by homomorphisms. This answers a question of L. Bowen.

Cite

@article{arxiv.2008.00554,
  title  = {On sofic approximations of $\mathbb F_2\times\mathbb F_2$},
  author = {Adrian Ioana},
  journal= {arXiv preprint arXiv:2008.00554},
  year   = {2020}
}
R2 v1 2026-06-23T17:35:17.256Z