Topics in Orbit Equivalence - Lecture Notes in Mathematics - Alexander Kechris - Knjige - Springer-Verlag Berlin and Heidelberg Gm - 9783540226031 - 26. avgusta 2004
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Alexander Kechris
Topics in Orbit Equivalence - Lecture Notes in Mathematics 2004 edition

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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.

138 pages, biography

Medij Knjige     Paperback Book   (Knjiga z mehkimi platnicami in lepljenim hrbtom)
Izdano 26. avgusta 2004
ISBN13 9783540226031
Založniki Springer-Verlag Berlin and Heidelberg Gm
Strani 138
Dimenzije 156 × 234 × 8 mm   ·   217 g
Jezik Angleščina   Nemščina  

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