Approximately transitive dynamical systems and simple spectrum
Dynamical Systems
2010-04-07 v1
Abstract
For some countable discrete torsion Abelian groups we give examples of their finite measure-preserving actions which have simple spectrum and no approximate transitivity property.
Cite
@article{arxiv.1004.0940,
title = {Approximately transitive dynamical systems and simple spectrum},
author = {E. H. El Abdalaoui and M. Lemanczyk},
journal= {arXiv preprint arXiv:1004.0940},
year = {2010}
}
Comments
9 pages, Key words and phrases: ergodic theory, dynamical system, AT property, funny rank one, Haar spectrum