Subequivalence Relations and Positive-Definite Functions

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dc.creatorIoana, A.
dc.creatorKechris, A. S.
dc.creatorTsankov, T.
dc.date2008-06-03
dc.date.accessioned2026-07-07T09:42:22Z
dc.date.available2026-07-07T09:42:22Z
dc.descriptionWe study a positive-definite function associated to a measure-preserving equivalence relation on a standard probability space and use it to measure quantitatively the proximity of subequivalence relations. This is combined with a recent co-inducing construction of Epstein to produce new kinds of mixing actions of an arbitrary infinite discrete group and it is also used to show that orbit equivalence of free, measure preserving, mixing actions of non-amenable groups is unclassifiable in a strong sense. Finally, in the case of property (T) groups we discuss connections with invariant percolation on Cayley graphs and the calculation of costs.
dc.identifierhttps://arxiv.org/abs/0806.0430
dc.identifierhttp://arxiv.org/abs/0806.0430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162160
dc.subjectDynamical Systems
dc.subjectLogic
dc.subjectProbability
dc.titleSubequivalence Relations and Positive-Definite Functions
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