Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300065434> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4300065434 abstract "Ab'ert-Weiss have shown that the Bernoulli shift s of a countably infinite group Gamma is weakly contained in any free measure preserving action (mpa) b of Gamma. We establish a strong version of this result, conjectured by Ioana, by showing that s times b is weakly equivalent to b. This is generalized to non-free mpa's using random Bernoulli shifts. The result for free mpa's is used to show that isomorphism on the weak equivalence class of a free mpa does not admit classification by countable structures. This provides a negative answer to a question of Ab'ert and Elek. We also answer a question of Kechris regarding two ergodic theoretic properties of residually finite groups. An infinite residually finite group Gamma is said to have EMD if the action p of Gamma on its profinite completion weakly contains all ergodic mpa's of Gamma, and Gamma is said to have property MD if i times p weakly contains all mpa's of Gamma, where i denotes the trivial action on a standard non-atomic probability space. Kechris asks if these two properties equivalent and we provide a positive answer by studying the relationship between convexity and weak containment." @default.
- W4300065434 created "2022-10-03" @default.
- W4300065434 creator A5036156339 @default.
- W4300065434 date "2012-02-14" @default.
- W4300065434 modified "2023-09-29" @default.
- W4300065434 title "Weak equivalence and non-classifiability of measure preserving actions" @default.
- W4300065434 doi "https://doi.org/10.48550/arxiv.1202.3101" @default.
- W4300065434 hasPublicationYear "2012" @default.
- W4300065434 type Work @default.
- W4300065434 citedByCount "0" @default.
- W4300065434 crossrefType "posted-content" @default.
- W4300065434 hasAuthorship W4300065434A5036156339 @default.
- W4300065434 hasBestOaLocation W43000654341 @default.
- W4300065434 hasConcept C110729354 @default.
- W4300065434 hasConcept C114614502 @default.
- W4300065434 hasConcept C115624301 @default.
- W4300065434 hasConcept C118615104 @default.
- W4300065434 hasConcept C121332964 @default.
- W4300065434 hasConcept C122044880 @default.
- W4300065434 hasConcept C152361515 @default.
- W4300065434 hasConcept C164528419 @default.
- W4300065434 hasConcept C185592680 @default.
- W4300065434 hasConcept C202444582 @default.
- W4300065434 hasConcept C203436722 @default.
- W4300065434 hasConcept C2780069185 @default.
- W4300065434 hasConcept C2781311116 @default.
- W4300065434 hasConcept C33923547 @default.
- W4300065434 hasConcept C62520636 @default.
- W4300065434 hasConcept C8010536 @default.
- W4300065434 hasConcept C97355855 @default.
- W4300065434 hasConceptScore W4300065434C110729354 @default.
- W4300065434 hasConceptScore W4300065434C114614502 @default.
- W4300065434 hasConceptScore W4300065434C115624301 @default.
- W4300065434 hasConceptScore W4300065434C118615104 @default.
- W4300065434 hasConceptScore W4300065434C121332964 @default.
- W4300065434 hasConceptScore W4300065434C122044880 @default.
- W4300065434 hasConceptScore W4300065434C152361515 @default.
- W4300065434 hasConceptScore W4300065434C164528419 @default.
- W4300065434 hasConceptScore W4300065434C185592680 @default.
- W4300065434 hasConceptScore W4300065434C202444582 @default.
- W4300065434 hasConceptScore W4300065434C203436722 @default.
- W4300065434 hasConceptScore W4300065434C2780069185 @default.
- W4300065434 hasConceptScore W4300065434C2781311116 @default.
- W4300065434 hasConceptScore W4300065434C33923547 @default.
- W4300065434 hasConceptScore W4300065434C62520636 @default.
- W4300065434 hasConceptScore W4300065434C8010536 @default.
- W4300065434 hasConceptScore W4300065434C97355855 @default.
- W4300065434 hasLocation W43000654341 @default.
- W4300065434 hasLocation W43000654342 @default.
- W4300065434 hasOpenAccess W4300065434 @default.
- W4300065434 hasPrimaryLocation W43000654341 @default.
- W4300065434 hasRelatedWork W2026940762 @default.
- W4300065434 hasRelatedWork W2128486623 @default.
- W4300065434 hasRelatedWork W2147976061 @default.
- W4300065434 hasRelatedWork W2610736842 @default.
- W4300065434 hasRelatedWork W2733475579 @default.
- W4300065434 hasRelatedWork W2796574751 @default.
- W4300065434 hasRelatedWork W2963560010 @default.
- W4300065434 hasRelatedWork W4296763635 @default.
- W4300065434 hasRelatedWork W4300065434 @default.
- W4300065434 hasRelatedWork W4324128320 @default.
- W4300065434 isParatext "false" @default.
- W4300065434 isRetracted "false" @default.
- W4300065434 workType "article" @default.