On sofic approximations of F2×F2\mathbb F_2\times\mathbb F_2

preprint2020arXivOpen access

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.

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