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arXiv:2105.06164 [math.DS]AbstractReferencesReviewsResources

Krieger's type for ergodic nonsingular Poisson actions of non-(T) locally compact groups

Alexandre I. Danilenko

Published 2021-05-13, updated 2022-06-11Version 2

It is shown that each non-compact locally compact second countable non-(T) group $G$ possesses non-strongly ergodic weakly mixing IDPFT Poisson actions of arbitrary Krieger's type. These actions are amenable if and only if $G$ is amenable. If $G$ has the Haagerup property then (and only then) these actions can be chosen of 0-type. If $G$ is amenable and unimodular then $G$ has weakly mixing Bernoulli actions of any possible Krieger's type.

Comments: Slightly modified version
Categories: math.DS
Subjects: 37A40, 37A50
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