Centralizers of rank-one homeomorphisms

DOI10.1017/etds.2012.149zbMath1336.54034arXiv1202.2066OpenAlexW2963257081MaRDI QIDQ5415941

Aaron Hill

Publication date: 19 May 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2066

zbMATH Keywords

centralizermeasure-preserving transformationweak closure theoremzero-dimensional Polish spacerank-one homeomorphism

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05)

Related Items (2)

Topological isomorphism for rank-1 systems ⋮ Rank-one actions, their \((C, F)\)-models and constructions with bounded parameters

Cites Work

• A simple measure-preserving transformation with trivial centralizer
• The commutant is the weak closure of the powers, for rank-1 transformations
• Spatial and non-spatial actions of Polish groups

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