Edición de la obra Topics in orbit equivalence
| Autor | A. S. Kechris |
|---|---|
| Editorial | Springer |
| Fecha de publicación | 2004 |
| Lugar | Berlin, New York |
| Idioma | inglés |
| Páginas | 134 |
| ISBN-10 | 3540226036 |
| OCLC | 56492332, 56575243 |
| LCCN | 2004109415 |
| Serie | Lecture notes in mathematics ; · 1852 · Lecture notes in mathematics (Springer-Verlag) ; |
| Número de Cutter | K25t |
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.