Topics in orbit equivalence
Author(s)
Bibliographic Information
Topics in orbit equivalence
（Lecture notes in mathematics, 1852）
Springer, c2004
Available at / 66 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||185204032129
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1852410.8/L507/v.185206132428,
410.8/L507/v.185206132428 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.48/K2332080013291
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Note
Includes bibliographical references (p. [129]-130) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- I. Orbit Equivalence.- II. Amenability and Hyperfiniteness.- III. Costs of Equivalence Relations and Groups.- References.- Index.
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