Topics in Orbit Equivalence

Name: Topics in Orbit Equivalence
Price: 42.19 USD
Availability: InStock
ISBN: 9783540226031

ISBN-10: 3540226036

ISBN-13: 9783540226031

Edition: 2004

Authors: Alexander S. Kechris, Benjamin D. Miller

List price: $44.99

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Book details

List price: $44.99
Copyright year: 2004
Publisher: Springer Berlin / Heidelberg
Publication date: 8/26/2004
Binding: Paperback
Pages: 138
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 1.056
Language: English




Orbit Equivalence



Group Actions and Equivalence Relations



Invariant Measures



Ergodicity



Isomorphism and Orbit Equivalence



Amenability and Hyperfiniteness



Amenable Groups



Hyperfiniteness



Dye's Theorem



Quasi-invariant Measures



Amenable Equivalence Relations



Amenability vs. Hyperfiniteness



Groups of Polynomial Growth



Generic Hyperfiniteness



Generic Compressibility



Costs of Equivalence Relations and Groups



Preliminaries



Countable Borel Equivalence Relations



More on Invariant Measures



Graphings of Equivalence Relations



Cost of an Equivalence Relation



Treeings of an Equivalence Relation



The Cost of a Smooth Equivalence Relation



The Cost of a Complete Section



Cost and Hyperfiniteness



Joins



Commuting Equivalence Relations



Subequivalence Relations of Finite Index



Cheap Equivalence Relations



Free and Amalgamated Joins



Costs and Free Actions



Cost of a Group



Treeable Groups



Cost and Amenable Groups



Generating Subgroups



Products



Subgroups of Finite Index



Cheap Groups



Free and Amalgamated Products



HNN-extensions



A List of Open Problems


References


Index