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Two special subgroups of the universal sofic group

Published online by Cambridge University Press:  10 April 2018

MATTEO CAVALERI ,
RADU B. MUNTEANU  and
LIVIU PĂUNESCU
MATTEO CAVALERI
Affiliation:
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania email [email protected], [email protected]
RADU B. MUNTEANU
Affiliation:
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania email [email protected], [email protected] Department of Mathematics, University of Bucharest, 14 Academiei Street, 010014, Bucharest, Romania email [email protected]
LIVIU PĂUNESCU
Affiliation:
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania email [email protected], [email protected]
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Abstract

We define a subgroup of the universal sofic group, obtained as the normalizer 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.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 12 , December 2019 , pp. 3250 - 3261
Copyright
© Cambridge University Press, 2018 

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