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arXiv · 1704.00814

Two special subgroups of the universal sofic group

Matteo Cavaleri·Radu B. Munteanu·Liviu Paunescu
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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.

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Matteo Cavaleri, Radu B. Munteanu, Liviu Paunescu. 2017-04-03. Two special subgroups of the universal sofic group. https://doi.org/10.1017/etds.2018.24

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