Extensions of generic measure-preserving actions

Details Extensions of generic measure-preserving actions Extensions of generic measure-preserving actions

2012-01-21

arxiv.org/abs/1201.4447v1

Mathematics

Logic

Scientific paper

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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