A property of ergodic flows
Dynamical Systems
2020-01-22 v1
Abstract
In this paper we introduce a property of ergodic flows, called Property B. We prove that any ergodic hyperfinite equiva- lence relation of type III_o whose associated flow satisfies this property is not of product type. A consequence of this result is that any properly ergodic ow with Property B is not approximately transitive. We use Property B to construct a non-AT flow which - up to conjugacy - is a flow built under a function with the dyadic odometer as base automorphism.
Keywords
Cite
@article{arxiv.1412.2047,
title = {A property of ergodic flows},
author = {Maria Joita and Radu-B. Munteanu},
journal= {arXiv preprint arXiv:1412.2047},
year = {2020}
}