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Strictly ergodic models for dynamical systems. (English) Zbl 0615.28012
The author reports the following results: (1) Every ergodic group action G has a strictly ergodic model, if G is commutative. (2) Any diagram in the category of \({\mathbb{Z}}\)-actions with the structure of an inverted tree has a strictly ergodic model. The first result is explained for \({\mathbb{Z}}^ 2\)-actions and the second one by the relative Jewett-Krieger theorem.
Reviewer: M.Denker

MSC:
28D05 Measure-preserving transformations
28D10 One-parameter continuous families of measure-preserving transformations
54H20 Topological dynamics (MSC2010)
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