Generic non-singular Poisson suspension is of type III<sub>1</sub>
نویسندگان
چکیده
Abstract It is shown that for a dense $G_\delta $ -subset of the subgroup non-singular transformations (of standard infinite $\sigma -finite measure space) whose Poisson suspensions are non-singular, corresponding ergodic and Krieger’s type III 1 .
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.5