Topics in orbit equivalence /
This volume 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 integ...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[2004]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1852. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This volume 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 134 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540445081 (electronic bk.) 3540445080 (electronic bk.) |
| ISSN: | 0075-8434 ; |