Abstract
The Ornstein-Weiss theorem (Theorem 4.84) asserts that the ergodic p.m.p. actions of countably infinite amenable groups are collectively responsible for a single orbit equivalence class. As soon as one moves beyond amenability, however, this triviality gives way to a staggering richness that is far from being completely understood.
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Kerr, D., Li, H. (2016). Orbit Equivalence Beyond Amenability. In: Ergodic Theory. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-49847-8_6
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DOI: https://doi.org/10.1007/978-3-319-49847-8_6
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