Extensions of generic measure-preserving actions
نویسنده
چکیده
We show that, whenever Γ is a countable abelian group and ∆ ≤ Γ is a finitely-generated subgroup, a generic measure-preserving action of ∆ on a standard atomless probability space (X,μ) extends to a free measure-preserving action of Γ on (X,μ). This extends a result of Ageev, corresponding to the case when ∆ is infinite cyclic.
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تاریخ انتشار 2013