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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 26. August 2004 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 236 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540226031 |
| Seiten | 138 |
Schlagwörter
Abstract Harmonic Analysis, Analysis, Dynamical Systems, Komplexe Analysis - komplexe Variablen - Funktionentheorie, Kybernetik und Systemtheorie, Mathematical Logic and Foundations, Mathematik: Logik, Mathematische Analysis - allgemein, Mathematische Grundlagen, Real Functions, Reelle Analysis - Real-Variablen, Topologie, Topology
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