Two special subgroups of the universal sofic group
Functional Analysis
2019-11-06 v1
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.
Cite
@article{arxiv.1704.00814,
title = {Two special subgroups of the universal sofic group},
author = {Matteo Cavaleri and Radu B. Munteanu and Liviu Paunescu},
journal= {arXiv preprint arXiv:1704.00814},
year = {2019}
}
Comments
11 pages