Topics in Orbit Equivalence (Paperback, 2004 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1852
Release date:	August 2004
First published:	2004
Authors:	Alexander Kechris • Benjamin D. Miller
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	138
Edition:	2004 ed.
ISBN-13:	978-3-540-22603-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	3-540-22603-6
Barcode:	9783540226031

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