Topics in Orbit Equivalence: 1852 (Lecture Notes in Mathematics) - Tapa blanda

Kechris, Alexander S.; Miller, Benjamin D.

 
9783540226031: Topics in Orbit Equivalence: 1852 (Lecture Notes in Mathematics)
Tapa blanda
ISBN 10: 3540226036 ISBN 13: 9783540226031
Editorial: Springer, 2008

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3540226036
ISBN 13 
9783540226031
Encuadernación
Tapa blanda
Número de páginas
148
Contacto del fabricante
no disponible
Persona responsable
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