A property of ergodic flows

Maria Joiţa, and Radu-B. Munteanu. "A property of ergodic flows." Studia Mathematica 225.3 (2014): 249-258. <http://eudml.org/doc/286368>.

@article{MariaJoiţa2014,
abstract = {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.},
author = {Maria Joiţa, Radu-B. Munteanu},
journal = {Studia Mathematica},
keywords = {ergodic flows; ergodic equivalence relations; property A; property B; approximate transitivity},
language = {eng},
number = {3},
pages = {249-258},
title = {A property of ergodic flows},
url = {http://eudml.org/doc/286368},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Maria Joiţa
AU - Radu-B. Munteanu
TI - A property of ergodic flows
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 3
SP - 249
EP - 258
AB - 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.
LA - eng
KW - ergodic flows; ergodic equivalence relations; property A; property B; approximate transitivity
UR - http://eudml.org/doc/286368
ER -