Extensions of generic measure-preserving actions
Logic
2013-02-18 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1201.4447,
title = {Extensions of generic measure-preserving actions},
author = {Julien Melleray},
journal= {arXiv preprint arXiv:1201.4447},
year = {2013}
}