Topics in Orbit Equivalence: 1852 - Brossura

Kechris, Alexander S.; Miller, Benjamin D.

Brossura

ISBN 10: 3540226036 ISBN 13: 9783540226031

Casa editrice: Springer, 2008

Riassunto

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.

Su questo libro

Contenuti

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

Product Description

Book by Kechris Alexander Miller Benjamin D

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2008
• ISBN 10: 3540226036
• ISBN 13: 9783540226031
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 148