Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorKechris, Alexander S. author
TitleTopics in Orbit Equivalence [electronic resource] / by Alexander S. Kechris
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2004
Connect tohttp://dx.doi.org/10.1007/b99421
Descript X, 138 p. online resource

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 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


CONTENT

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


Mathematics Mathematical analysis Analysis (Mathematics) Harmonic analysis Dynamics Ergodic theory Functions of real variables Mathematical logic Topology Mathematics Analysis Mathematical Logic and Foundations Real Functions Dynamical Systems and Ergodic Theory Abstract Harmonic Analysis Topology



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram