Topics in Orbit Equivalence - Lecture Notes in Mathematics
Topics in Orbit Equivalence - Lecture Notes in Mathematics
paperback
Published:
26 August, 2004
paperback
Published:
26 August, 2004
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Description
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.
More Details
| Type | Book |
|---|---|
| ISBN13 | 9783540226031 |
| ISBN10 | 3540226036 |
| Number Of Pages | 138 |
| Item Weight | 1000 g |
| Publisher / Reseller | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
| Format | paperback |
| Edition | 2004 ed. |
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