Prime Poisson suspensions
Dynamical Systems
2014-08-13 v2 Probability
Abstract
We establish a necessary and sufficient condition for a Poisson suspension to be prime. The proof is based on the Fock space structure of the -space of the Poisson suspension. We give examples of explicit infinite measure preserving systems, in particular non-singular compact group rotations that give rise to prime Poisson suspensions. We also compare some properties of so far known prime transformations with those of our examples, showing that these examples are new.
Cite
@article{arxiv.1205.4516,
title = {Prime Poisson suspensions},
author = {François Parreau and Emmanuel Roy},
journal= {arXiv preprint arXiv:1205.4516},
year = {2014}
}
Comments
12 pages