Format:
Online-Ressource (X, 138 p, online resource)
ISBN:
9783540445081
Series Statement:
Lecture Notes in Mathematics 1852
Content:
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
Additional Edition:
ISBN 9783540226031
Additional Edition:
Druckausg. Kechris, Alexander S., 1946 - Topics in orbit equivalence Berlin : Springer, 2004 ISBN 3540226036
Additional Edition:
ISBN 9783540226031
Language:
English
Subjects:
Mathematics
Keywords:
Ergodentheorie
;
Gruppenoperation
;
Äquivalenzrelation
URL:
Volltext
(lizenzpflichtig)
Author information:
Kechris, Alexander S. 1946-
