The existence of measures of a given cocycle, I: atomless, ergodic σ-finite measures

DOI10.1017/S0143385707001113zbMath1167.37007WikidataQ56989958 ScholiaQ56989958MaRDI QIDQ3623588

Benjamin D. Miller

Publication date: 21 April 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

orbit equivalence relationBorel cocyclecountable Borel equivalence relation

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

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Cites Work

• Unnamed Item
• Measurable recurrence and quasi-invariant measures
• Can you take Solovay's inaccessible away?
• Borel chromatic numbers
• Topics in orbit equivalence
• Measurable dynamics
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I