Minimal models for actions of amenable groups

作者：Frej Bartosz^*; Huczek Dawid

来源：Groups, Geometry, and Dynamics, 2017, 11(2): 567-583.

DOI：10.4171/GGD/408

• 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. affinely homeomorphic, simplex of measures.

• 出版日期2017