Topics in Orbit Equivalence - Lecture Notes in Mathematics - Alexander Kechris - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540226031 - August 26, 2004
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Alexander Kechris
Topics in Orbit Equivalence - Lecture Notes in Mathematics 2004 edition

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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.

138 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released August 26, 2004
ISBN13 9783540226031
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 138
Dimensions 156 × 234 × 8 mm   ·   217 g
Language English   German  

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