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Rigidity theorems for actions of product groups and countable Borel equivalence relations / / Greg Hjorth, Alexander S. Kechris



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Autore: Hjorth Greg <1963-> Visualizza persona
Titolo: Rigidity theorems for actions of product groups and countable Borel equivalence relations / / Greg Hjorth, Alexander S. Kechris Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2005]
©2005
Descrizione fisica: 1 online resource (126 p.)
Disciplina: 510 s
511.3/22
Soggetto topico: Set theory
Borel sets
Measure theory
Ergodic theory
Rigidity (Geometry)
Persona (resp. second.): KechrisA. S. <1946->
Note generali: "Volume 176, number 833 (first of 4 numbers)."
Nota di bibliografia: Includes bibliographical references (pages 107-109).
Nota di contenuto: ""Contents""; ""Introduction""; ""Chapter 0. Preliminaries""; ""0A. Actions""; ""0B. Equivalence relations""; ""0C. Borel notions""; ""0D. Measures""; ""0E. Borel actions and measures""; ""0F. Amenability""; ""Chapter 1. Actions of Free Groups and Treeable Equivalence Relations""; ""Chapter 2. A Cocycle Reduction Result""; ""Chapter 3. Some Applications""; ""3A. An ""elementary"" proof of existence of incomparables""; ""3B. Further ""elementary"" proofs of theorems of Adams�Kechris""; ""3C. ""Elementary"" proofs of results of Adams and Thomas""
""3D. Relative ergodicity and rigidity results for product group actions""""Chapter 4. Factoring Homomorphisms""; ""Chapter 5. Further Applications""; ""5A. Rigidity results for reducibility and stable orbit equivalence""; ""5B. Products of hyperbolic groups""; ""Chapter 6. Product Actions, I""; ""Chapter 7. Product Actions, II""; ""Chapter 8. A Final Application""; ""Appendix A: Strong Notions of Ergodicity""; ""A1. Homomorphisms and relative ergodicity""; ""A2. E[sub(0)]�ergodicity and almost invariant sets""; ""A3. Almost invariant vectors""
""E1. Amenable classes of structures""""E2. The factoring lemma""; ""Bibliography""
Titolo autorizzato: Rigidity theorems for actions of product groups and countable Borel equivalence relations  Visualizza cluster
ISBN: 1-4704-0434-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910788750003321
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Serie: Memoirs of the American Mathematical Society ; ; no. 833.