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Topics in orbit equivalence

Author: A S Kechris; SpringerLink (Service en ligne)
Publisher: Berlin ; New York : Springer, ©2004.
Series: Lecture notes in mathematics (En ligne), 1852.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A S Kechris; SpringerLink (Service en ligne)
OCLC Number: 610008101
Notes: In SpringerLink.
Titre de l'écran-titre (visionné le 12 mars 2010).
Description: x, 134 p. : fichiers PDF.
Series Title: Lecture notes in mathematics (En ligne), 1852.
Responsibility: Alexander S. Kechris, Benjamin D. Miller.

Abstract:

"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."--Résumé de l'éditeur.

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