A property of ergodic flows

• Autorzy: Maria Joiţa , Radu-B. Munteanu
• Języki publikacji: EN

Abstrakty

EN

We introduce a property of ergodic flows, called Property B. We prove that an ergodic hyperfinite equivalence relation of type III₀ whose associated flow has this property is not of product type. A consequence is that a properly ergodic flow with Property B is not approximately transitive. We use Property B to construct a non-AT flow which-up to conjugacy-is built under a function with the dyadic odometer as base automorphism.

Kategorie tematyczne

• 37A40: Nonsingular (and infinite-measure preserving) transformations
• 37A20: Orbit equivalence, cocycles, ergodic equivalence relations
• 46L10: General theory of von Neumann algebras
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 225
• Numer: 3
• Strony: 249-258

Daty

wydano

2014

Twórcy

autor

Maria Joiţa

• Department of Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042 Bucureşti, Romania
• Department of Mathematics, University of Bucharest, 14 Academiei St., 010014 Bucureşti, Romania

autor

Radu-B. Munteanu

• Department of Mathematics, University of Bucharest, 14 Academiei St., 010014 Bucureşti, Romania

Identyfikatory

DOI

10.4064/sm225-3-5