Topics in orbit equivalence

＜図書＞
Topics in orbit equivalence

責任表示	Alexander S. Kechris, Benjamin D. Miller
シリーズ	Lecture notes in mathematics ; 1852
データ種別	図書
出版情報	Berlin : Springer , c2004
本文言語	英語
大きさ	x, 134 p. ; 24 cm
概要	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 he...e 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7006780

一般注記	Includes bibliographical references (p. [129]-130) and index
著者標目	*Kechris, Alexander S., 1946- Miller, Benjamin D.
書誌ID	1001231738
ISBN	3540226036
NCID	BA68808172
巻冊次	ISBN:3540226036
登録日	2009.09.18
更新日	2017.02.18