Year: 2026
Type: article
Abstract: Let G G be a discrete countable infinite group. Let T T and T ~ \widetilde T be two rank-one σ \sigma -finite measure preserving actions of G G and let T \mathcal {T} and T ~ \widetilde {\mathcal {T}} be the cutting-and-stacking parameters that determine T T and T ~ \widetilde T respectively. We find necessary and sufficient conditions on T \mathcal {T} and T ~ \widetilde {\mathcal {T}} under which T T and T ~ \widetilde T are isomorphic. We also show that the isomorphism equivalence relation is a G δ G_\delta -subset in the Cartesian square of the set of all admissible parameters
DOI: 10.1090/tran/9682
Authors: Alexandre Danilenko, Mykyta Vieprik
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416118074