Disjointness between bounded rank-one transformations
Volume 164 / 2021
Colloquium Mathematicum 164 (2021), 91-121
MSC: Primary 37A05, 37A35, 37B10; Secondary 28D05, 54H20.
DOI: 10.4064/cm8081-2-2020
Published online: 31 August 2020
Abstract
In this paper some sufficient conditions are given for when two bounded rank-one transformations are non-isomorphic and when they are disjoint. We also obtain sufficient conditions for a bounded rank-one transformation to have minimal self-joinings. For commensurate, canonically bounded rank-one transformations, isomorphism and disjointness are completely determined by simple conditions in terms of their cutting and spacer parameters.
