Topics in Orbit Equivalence

• Main Authors: Kechris, Alexander (Author, http://id.loc.gov/vocabulary/relators/aut), Miller, Benjamin D. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1852
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Mathematical logic.; Functions of real variables.; Dynamics.; Ergodic theory.; Harmonic analysis.; Topology.; Analysis.; Mathematical Logic and Foundations.; Real Functions.; Dynamical Systems and Ergodic Theory.; Abstract Harmonic Analysis.

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 integ...

Table of Contents:

• Preface
• I. Orbit Equivalence
• II. Amenability and Hyperfiniteness
• III. Costs of Equivalence Relations and Groups
• References
• Index.