UID:
almahu_9947921435502882
Umfang:
X, 138 p.
,
online resource.
ISBN:
9783540445081
Serie:
Lecture Notes in Mathematics, 1852
Inhalt:
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.
Anmerkung:
Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540226031
Sprache:
Englisch
URL:
http://dx.doi.org/10.1007/b99421
