Topics in Orbit Equivalence
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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.
Format:Paperback
Language:English
ISBN:3540226036
ISBN13:9783540226031
Release Date:August 2004
Publisher:Springer
Length:138 Pages
Weight:0.60 lbs.
Dimensions:0.3" x 6.1" x 9.2"
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