Two special subgroups of the universal sofic group

Abstract

We define a subgroup of the universal sofic group, obtained as the normaliser of a separable abelian subalgebra. This subgroup can be obtained as an extension by the group of automorphisms on a standard probability space. We show that each sofic representation can be conjugated inside this subgroup.

11 pages

References in corpus (3)

• Almost commuting permutations are near commuting permutations
• Some closure results for C-approximable groups
• Approximation of groups, characterizations of sofic groups, and equations over groups

Cited by in corpus (1)

• Approximate homomorphisms and sofic approximations of orbit equivalence relations