Alexander S. Kechris, B. D. Miller

Topics in Orbit Equivalence

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1852
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 11306825, 978-3-540-22603-1
• 2004
• Seitenzahl: 148
• Erscheinungstermin: 26. August 2004
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 238g
• ISBN-13: 9783540226031
• ISBN-10: 3540226036
• Artikelnr.: 13055238

Autorenporträt

Alexander S. Kechris, California Institute of Technology, Pasadena, PA, USA / Benjamin D. Miller, University of California, Los Angeles, CA, USA

Inhaltsangabe

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