2 papers
math.GR2023
Classification of non-free p.m.p. boolean actions of ergodic full groups and applications
Alessandro Carderi, Alice Giraud, François Le Maître
We extend Dye's reconstruction theorem, which classifies isomorphisms between full groups, to a classification of homomorphisms between full groups. For full groups of ergodic p.m.…
math.DS2019
Hyperfinite measure-preserving actions of countable groups and their model theory
Alice Giraud
We give a shorter proof of a theorem of G. Elek stating that two hyperfinite measure-preserving actions of a countable group on standard probability spaces are approximately conjug…