Abstract
Abstract
It is shown that each locally compact second countable non-(T) group G admits non-strongly ergodic weakly mixing IDPFT Poisson actions of any possible Krieger 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, then G admits weakly mixing Bernoulli actions of arbitrary Krieger type.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
3 articles.
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1. Ergodic Theory: Nonsingular Transformations;Encyclopedia of Complexity and Systems Science Series;2023
2. BERNOULLI ACTIONS OF TYPE III WITH PRESCRIBED ASSOCIATED FLOW;Journal of the Institute of Mathematics of Jussieu;2022-06-14
3. Ergodic Theory: Nonsingular Transformations;Encyclopedia of Complexity and Systems Science;2022