Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups
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 chos...
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Veröffentlicht in: | Ergodic theory and dynamical systems 2023-07, Vol.43 (7), p.2317-2353 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 0143-3857 1469-4417 |
DOI: | 10.1017/etds.2022.34 |