Families of type III\(_{0}\) ergodic transformations in distinct orbit equivalent classes

DOI10.1007/s00605-010-0258-0zbMath1246.37008OpenAlexW2090176428MaRDI QIDQ652547

Jane M. Hawkins, Anthony H. Dooley, David Ralston

Publication date: 14 December 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0258-0

zbMATH Keywords

ergodic transformationsorbit equivalenceisomorphism of flows

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (1)

Orbit equivalence of \(p\)-adic transformations and their iterates

Cites Work

• Unnamed Item
• Unnamed Item
• On ergodic flows and the isomorphism of factors
• Point spectra of non-singular flows
• The flow of weights on factors of type III
• Even Kakutani equivalence via \(\alpha\)- and \(\beta\)-equivalences
• On a class of hyperfinite factors that arise from null-recurrent Markov chains
• Discrete "Orders of Infinity"
• Approximately transitive flows and ITPFI factors
• An amenable equivalence relation is generated by a single transformation
• The classification of non-singular actions, revisited
• On Groups of Measure Preserving Transformations. II
• A classification of factors

This page was built for publication: Families of type III\(_{0}\) ergodic transformations in distinct orbit equivalent classes