| 书目名称 | Topics in Orbit Equivalence |
| 编辑 | Alexander S. Kechris |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2004 |
| 关键词 | Equivalence; amenability; cost; equivalence relations; hyperfiniteness; orbit equivalence; set; set theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b99421 |
| isbn_softcover | 978-3-540-22603-1 |
| isbn_ebook | 978-3-540-44508-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 17:21:30
