Topics in Orbit Equivalence / by Alexander S. Kechris
(Lecture Notes in Mathematics ; 1852)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 2004 |
| 本文言語 | 英語 |
| 大きさ | X, 138 p : online resource |
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| 内容注記 | Preface I. Orbit Equivalence II. Amenability and Hyperfiniteness III. Costs of Equivalence Relations and Groups References Index |
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| 一般注記 | 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 |
| 著者標目 | *Kechris, Alexander S. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Harmonic analysis LCSH:Dynamics LCSH:Ergodic theory LCSH:Functions of real variables LCSH:Mathematical logic LCSH:Topology FREE:Mathematics FREE:Analysis FREE:Mathematical Logic and Foundations FREE:Real Functions FREE:Dynamical Systems and Ergodic Theory FREE:Abstract Harmonic Analysis FREE:Topology |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9783540445081 
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| ISBN | 9783540445081 |
| URL | http://dx.doi.org/10.1007/b99421 |
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