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Generalized Oxtoby subshifts and hyperfiniteness

Volume 272 / 2026

Konrad Deka, Bo Peng Fundamenta Mathematicae 272 (2026), 137-158 MSC: Primary 37B10; Secondary 03E15 DOI: 10.4064/fm250220-10-9 Published online: 28 December 2025

Abstract

We show that there exists a class of symbolic subshifts which realizes all Choquet simplices as simplices of invariant measures, and the conjugacy relation on that class is hyperfinite.

Authors

  • Konrad DekaFaculty of Mathematics and Computer Science
    Jagiellonian University in Kraków
    30-348 Kraków, Poland
    e-mail
  • Bo PengDepartment of Mathematics and Statistics
    McGill University
    Montreal, Quebec, Canada, H3A 2K6
    e-mail

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