A+ CATEGORY SCIENTIFIC UNIT

Minimal models for $\mathbb Z^d$-actions

Volume 110 / 2008

Bartosz Frej, Agata Kwaśnicka Colloquium Mathematicum 110 (2008), 461-476 MSC: 28D05, 28D15, 37A05, 37B05. DOI: 10.4064/cm110-2-9

Abstract

We prove that on a metrizable, compact, zero-dimensional space every ${\mathbb Z}^d$-action with no periodic points is measurably isomorphic to a minimal ${\mathbb Z}^d$-action with the same, i.e. affinely homeomorphic, simplex of measures.

Authors

  • Bartosz FrejInstitute of Mathematics and Computer Science
    Wrocław University of Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail
  • Agata KwaśnickaInstitute of Mathematics and Computer Science
    Wrocław University of Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail

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