Flows with Ratner’s property have discrete essential centralizer
Volume 237 / 2017
Studia Mathematica 237 (2017), 185-194
MSC: Primary 37A05; Secondary 37A025.
DOI: 10.4064/sm8660-11-2016
Published online: 23 January 2017
Abstract
We show that a free, ergodic action of $\mathbb {R}$ with (finite) Ratner’s property has countable discrete essential centralizer. Moreover, we show that such flows are mildly mixing.
