Topics in Orbit Equivalence
Alexander S. Kechris, Benjamin D. Miller
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.
种类:
年:
2004
出版:
1
出版社:
Springer
语言:
english
页:
134
ISBN 10:
3540226036
ISBN 13:
9783540226031
系列:
Lecture Notes in Mathematics
文件:
RAR, 1.34 MB
IPFS:
,
english, 2004
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