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arXiv · 1901.08735

Groups with infinite FC-center have the Schmidt property

Yoshikata Kida·Robin Tucker-Drob
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Abstract

We show that every countable group with infinite FC-center has the Schmidt property, i.e., admits a free, ergodic, measure-preserving action on a standard probability space such that the full group of the associated orbit equivalence relation contains a non-trivial central sequence. As its consequence, every countable, inner amenable group with property (T) has the Schmidt property.

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BibTeXRIS

Yoshikata Kida, Robin Tucker-Drob. 2019-01-25. Groups with infinite FC-center have the Schmidt property. https://doi.org/10.1017/etds.2020.146

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