Krieger's type for ergodic nonsingular Poisson actions of non-(T) locally compact groups
Dynamical Systems
2022-06-14 v2
Abstract
It is shown that each non-compact locally compact second countable non-(T) group possesses non-strongly ergodic weakly mixing IDPFT Poisson actions of arbitrary Krieger's type. These actions are amenable if and only if is amenable. If has the Haagerup property then (and only then) these actions can be chosen of 0-type. If is amenable and unimodular then has weakly mixing Bernoulli actions of any possible Krieger's type.
Keywords
Cite
@article{arxiv.2105.06164,
title = {Krieger's type for ergodic nonsingular Poisson actions of non-(T) locally compact groups},
author = {Alexandre I. Danilenko},
journal= {arXiv preprint arXiv:2105.06164},
year = {2022}
}
Comments
Slightly modified version