Minimal models for $\mathbb Z^d$-actions
Volume 110 / 2008
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.
