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Wir sind gerne für Sie daThis 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.
Produkteigenschaften
- Artikelnummer: 9783540226031
- Medium: Buch
- ISBN: 978-3-540-22603-1
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 26.08.2004
- Sprache(n): Englisch
- Auflage: 2004
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 236 g
- Seiten: 138
- Format (B x H x T): 155 x 235 x 9 mm
- Ausgabetyp: Kein, Unbekannt