3 papers
math.DS2026
On the Rokhlin lemma for infinite measure-preserving bijections
Fabien Hoareau, François Le Maître
We study the Rokhlin lemma in the context of infinite measure-preserving bijections, and completely classify such bijections up to -approximate conjugacy, where is the inf…
math.DS2025
Polish full groups preserving an infinite measure
Fabien Hoareau
We extend some results of Carderi and Le Maître on full groups in the probability context to the infinite measure one: there exists at most one Polish group topology (refining the…
math.DS2025
Spatial models for boolean actions in the infinite measure-preserving setup
Fabien Hoareau, François Le Maître
We show that up to a null set, every infinite measure-preserving action of a locally compact Polish group can be turned into a continuous measure-preserving action on a locally com…