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Topics in Orbit Equivalence - Lecture Notes in Mathematics Alexander Kechris 2004 edition
Topics in Orbit Equivalence - Lecture Notes in Mathematics
Alexander Kechris
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.
138 pages, biography
| Medios de comunicación | Libros Paperback Book (Libro con tapa blanda y lomo encolado) |
| Publicado | 26 de agosto de 2004 |
| ISBN13 | 9783540226031 |
| Editores | Springer-Verlag Berlin and Heidelberg Gm |
| Páginas | 138 |
| Dimensiones | 156 × 234 × 8 mm · 217 g |
| Lengua | Inglés Alemán |