Topics in orbit equivalence
Thisvolume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the intege...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin, Heidelberg
Springer
2004
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| Schriftenreihe: | Lecture notes in mathematics
1852 |
| Schlagworte: | |
| Online Zugang: | Einführung/Vorwort Cover Inhaltsverzeichnis Inhaltstext Publisher description Table of contents only http://digitale-objekte.hbz-nrw.de/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&user=GUEST&pid=1498664 |
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| Zusammenfassung: | Thisvolume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups. TOC:Preface.- I. Orbit Equivalence.- II. Amenability and Hyperfiniteness.- III. Costs of Equivalence Relations and Groups.- References.- Index |
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| Beschreibung: | Literaturverz. S. [129] - 130 |
| Beschreibung: | X, 134 S 24 cm |
| ISBN: | 3540226036 3-540-22603-6 9783540226031 978-3-540-22603-1 |