Nonsingular Poisson Suspensions

@article{Danilenko2022NonsingularPS,
  title={Nonsingular Poisson Suspensions},
  author={Alexandre I. Danilenko and Zemer Kosloff and Emmanuel Roy},
  journal={Journal d'Analyse Math{\'e}matique},
  year={2022},
  volume={146},
  pages={741-790}
}
The classical Poisson functor associates to every infinite measure preserving dynamical system ( X, μ, T ) a probability preserving dynamical system ( X *, μ*, T * ) called the Poisson suspension of T . In this paper we generalize this construction: a subgroup Aut 2 ( X, μ ) of μ -nonsingular transformations T of X is specified as the largest subgroup for which T * is μ *-nonsingular. The topological structure of this subgroup is studied. We show that a generic element in Aut 2 ( X, μ ) is… 

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