Minimal models for $ℤ^{d}$-actions

• Autorzy: Bartosz Frej , Agata Kwaśnicka
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 28D15: General groups of measure-preserving transformations
• 37A05: Measure-preserving transformations
• 28D05: Measure-preserving transformations
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 461-476

Daty

wydano

2008

Twórcy

autor

Bartosz Frej

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Agata Kwaśnicka

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm110-2-9