We prove that on a metrizable, compact, zero-dimensional space every free action of an amenable group is measurably isomorphic to a minimal G-action with the same, i.e. affinely homeomorphic, simplex of measures.
1
Wroclaw University of Science & Technology, Poland
2
Wrocław University of Science & Technology, Poland
Bartosz Frej; Dawid Huczek. Minimal models for actions of amenable groups. Groups, geometry, and dynamics, Tome 11 (2017) no. 2, pp. 567-583. doi: 10.4171/ggd/408
@article{10_4171_ggd_408,
author = {Bartosz Frej and Dawid Huczek},
title = {Minimal models for actions of amenable groups},
journal = {Groups, geometry, and dynamics},
pages = {567--583},
year = {2017},
volume = {11},
number = {2},
doi = {10.4171/ggd/408},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/408/}
}
TY - JOUR
AU - Bartosz Frej
AU - Dawid Huczek
TI - Minimal models for actions of amenable groups
JO - Groups, geometry, and dynamics
PY - 2017
SP - 567
EP - 583
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/408/
DO - 10.4171/ggd/408
ID - 10_4171_ggd_408
ER -
%0 Journal Article
%A Bartosz Frej
%A Dawid Huczek
%T Minimal models for actions of amenable groups
%J Groups, geometry, and dynamics
%D 2017
%P 567-583
%V 11
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/408/
%R 10.4171/ggd/408
%F 10_4171_ggd_408
