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Generic non-singular Poisson suspension is of type III1
Published online by Cambridge University Press: 05 March 2021
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 III1.
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- © The Author(s), 2021. Published by Cambridge University Press
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