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arXiv · 1201.4447

Extensions of generic measure-preserving actions

Julien Melleray
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Abstract

We show that, whenever Gamma is a countable abelian group and Delta is a finitely-generated subgroup of Gamma, a generic measure-preserving action of Delta on a standard atomless probability space (X,mu) extends to a free measure-preserving action of Gamma on (X,mu). This extends a result of Ageev, corresponding to the case when Delta is infinite cyclic.

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Julien Melleray. 2013-02-15. Extensions of generic measure-preserving actions. https://arxiv.org/abs/1201.4447

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