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- W3122074259 abstract "Abstract We prove that the solid ergodicity property is stable with respect to taking coinduction for a fairly large class of coinduced action. More precisely, assume that $Sigma <Gamma $ are countable groups such that $gSigma g^{-1}cap Sigma $ is finite for any $gin Gamma setminus Sigma $. Then any measure preserving action $Sigma curvearrowright X_0$ gives rise to a solidly ergodic equivalence relation if and only if the equivalence relation of the associated coinduced action $Gamma curvearrowright X$ is solidly ergodic. We also obtain orbit equivalence rigidity for such actions by showing that the orbit equivalence relation of a rigid or compact measure preserving action $Sigma curvearrowright X_0$ of a property (T) group is “remembered” by the orbit equivalence relation of $Gamma curvearrowright X$." @default.
- W3122074259 created "2021-02-01" @default.
- W3122074259 creator A5083745613 @default.
- W3122074259 date "2021-01-19" @default.
- W3122074259 modified "2023-09-24" @default.
- W3122074259 title "Solid Ergodicity and Orbit Equivalence Rigidity for Coinduced Actions" @default.
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- W3122074259 doi "https://doi.org/10.1093/imrn/rnaa325" @default.
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