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About 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 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.
Detailed Information
| Author: | Alexander S. Kechris (auth.) |
|---|---|
| Publication Year: | 2004 |
| ISBN: | 3540226036 |
| Pages: | 141 |
| Language: | English |
| File Size: | 0.774 |
| Format: | |
| Price: | FREE |
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