Topics in Orbit Equivalence
Produktnummer:
18875a21ef8fbe4dc9ab33a4913ce740b5
Autor: | Kechris, Alexander Miller, Benjamin D. |
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Themengebiete: | Equivalence amenability cost equivalence relations hyperfiniteness orbit equivalence set set theory |
Veröffentlichungsdatum: | 26.08.2004 |
EAN: | 9783540226031 |
Sprache: | Englisch |
Seitenzahl: | 138 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer Berlin |
Produktinformationen "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.

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