- journal article metadata
European Mathematical Society Publishing House
2017-06-29 23:45:01
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
11
2017
2
Minimal models for actions of amenable groups
Bartosz
Frej
Wroclaw University of Science & Technology, Poland
Dawid
Huczek
Wrocław University of Science & Technology, Poland
Topologicalmodel, dynamical system, group action, amenable group, invariant measure, Choquet simplex, Borel isomorphism
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. a ffinely homeomorphic, simplex of measures.
Measure and integration
Dynamical systems and ergodic theory
567
583
10.4171/GGD/408
http://www.ems-ph.org/doi/10.4171/GGD/408