PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

A property of ergodic flows

Volume 225 / 2014

Maria Joiţa, Radu-B. Munteanu Studia Mathematica 225 (2014), 249-258 MSC: Primary 37A20; Secondary 37A35, 37A40, 46L10. DOI: 10.4064/sm225-3-5

Abstract

We introduce a property of ergodic flows, called Property B. We prove that an ergodic hyperfinite equivalence relation of type III$_{0}$ 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.

Authors

  • Maria JoiţaDepartment of Mathematics
    Faculty of Applied Sciences
    University Politehnica of Bucharest
    313 Splaiul Independentei
    060042 Bucureşti, Romania
    and
    Department of Mathematics
    University of Bucharest
    14 Academiei St.
    010014 Bucureşti, Romania
    e-mail
  • Radu-B. MunteanuDepartment of Mathematics
    University of Bucharest
    14 Academiei St.
    010014 Bucureşti, Romania
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image