A Converse to Dye's Theorem

Every non-amenable countable group induces orbit inequivalent ergodic equivalence relations on standard Borel probability spaces. Not every free, ergodic, measure preserving action of F<sub>2</sub> on a standard Borel probability space is orbit equivalent to an action of a countable grou...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:	Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 357(2005), 8, Seite 3083-3103
1. Verfasser:	Hjorth, Greg (VerfasserIn)
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2005
Zugriff auf das übergeordnete Werk:	Transactions of the American Mathematical Society
Schlagworte:	Ergodic Theory Treeable Equivalence Relations Non-Amenable Groups Property T Groups Free Groups Borel Reducibility Philosophy Applied sciences Mathematics Behavioral sciences


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100	1		\|a Hjorth, Greg \|e verfasserin \|4 aut
245	1	2	\|a A Converse to Dye's Theorem
264		1	\|c 2005
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520			\|a Every non-amenable countable group induces orbit inequivalent ergodic equivalence relations on standard Borel probability spaces. Not every free, ergodic, measure preserving action of F<sub>2</sub> on a standard Borel probability space is orbit equivalent to an action of a countable group on an inverse limit of finite spaces. There is a treeable non-hyperfinite Borel equivalence relation which is not universal for treeable in the <tex-math>$\leq_B$</tex-math> ordering.
540			\|a Copyright 2005 American Mathematical Society
650		4	\|a Ergodic Theory
650		4	\|a Treeable Equivalence Relations
650		4	\|a Non-Amenable Groups
650		4	\|a Property T Groups
650		4	\|a Free Groups
650		4	\|a Borel Reducibility
650		4	\|a Philosophy \|x Logic \|x Logical topics \|x Formal logic \|x Mathematical logic \|x Mathematical set theory \|x Mathematical relations \|x Equivalence relation
650		4	\|a Applied sciences \|x Systems science \|x Systems theory \|x Dynamical systems \|x Ergodic theory
650		4	\|a Mathematics \|x Mathematical expressions \|x Mathematical theorems
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Probabilities
650		4	\|a Mathematics \|x Pure mathematics \|x Linear algebra \|x Vector analysis \|x Mathematical vectors \|x Unit vectors
650		4	\|a Mathematics \|x Pure mathematics \|x Algebra
650		4	\|a Behavioral sciences \|x Psychology \|x Clinical psychology \|x Psychotherapy \|x Psychotherapeutic techniques \|x Group psychotherapy \|x Encounter groups
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Statistical physics \|x Dimensional analysis \|x Dimensionality \|x Abstract spaces \|x Topological spaces \|x Metric spaces \|x Separable spaces \|x Banach space \|x Hilbert spaces
650		4	\|a Mathematics \|x Pure mathematics \|x Algebra \|x Abstract algebra \|x Homomorphisms \|x Automorphisms
655		4	\|a research-article
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