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.
Keywords:
prove metrizable compact zero dimensional space every mathbb d action periodic points measurably isomorphic minimal mathbb d action affinely homeomorphic simplex measures
@article{10_4064_cm110_2_9,
author = {Bartosz Frej and Agata Kwa\'snicka},
title = {Minimal models for $\mathbb Z^d$-actions},
journal = {Colloquium Mathematicum},
pages = {461--476},
year = {2008},
volume = {110},
number = {2},
doi = {10.4064/cm110-2-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-9/}
}
TY - JOUR
AU - Bartosz Frej
AU - Agata Kwaśnicka
TI - Minimal models for $\mathbb Z^d$-actions
JO - Colloquium Mathematicum
PY - 2008
SP - 461
EP - 476
VL - 110
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-9/
DO - 10.4064/cm110-2-9
LA - en
ID - 10_4064_cm110_2_9
ER -