Topics in Orbit Equivalence / Lecture Notes in Mathematics Bd.1852 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Alexander Kechris , Benjamin D. Miller
- 2004, 2004, 138 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540445080
- ISBN-13: 9783540445081
- Erscheinungsdatum: 08.09.2004
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 1.80 MB
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Englisch
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