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

Bartosz Frej, and Agata Kwaśnicka. "Minimal models for $ℤ^{d}$-actions." Colloquium Mathematicae 110.2 (2008): 461-476. <http://eudml.org/doc/284263>.

@article{BartoszFrej2008,
abstract = {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.},
author = {Bartosz Frej, Agata Kwaśnicka},
journal = {Colloquium Mathematicae},
keywords = {compact zero-dimensional space; commuting measure preserving transformations; aperiodic; minimal; invariant measures},
language = {eng},
number = {2},
pages = {461-476},
title = {Minimal models for $ℤ^\{d\}$-actions},
url = {http://eudml.org/doc/284263},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Bartosz Frej
AU - Agata Kwaśnicka
TI - Minimal models for $ℤ^{d}$-actions
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 461
EP - 476
AB - 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.
LA - eng
KW - compact zero-dimensional space; commuting measure preserving transformations; aperiodic; minimal; invariant measures
UR - http://eudml.org/doc/284263
ER -