Work

Partially Bounded Transformations have Trivial Centralizer

Year: 2016

Type: preprint

Abstract: We prove that for infinite rank-one transformations satisfying a property called "partial boundedness," the only commuting transformations are powers of the original transformation. This shows that a large class of infinite measure-preserving rank-one transformations with bounded cuts have trivial centralizers. We also characterize when partially bounded transformations are isomorphic to their inverse.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1609.04758

Authors: Gaebler, Johann, Kastner, Alexander, Silva, Cesar E., Xu, Xiaoyu, Zhou, Zirui

Institutions: Princeton University, Williams College, University of California, Berkeley

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Williams College

Award: REU Site: The Williams College SMALL REU program

OpenAlex ID: W2522664372

Cites: 15

Cited by:

Related to: 10