Generic non-singular Poisson suspension is of type III 1
Résumé
Abstract It is shown that for a dense $G_\delta $ -subset of the subgroup of non-singular transformations (of a standard infinite $\sigma $ -finite measure space) whose Poisson suspensions are non-singular, the corresponding Poisson suspensions are ergodic and of Krieger’s type III 1 .
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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