Construction of minimal skew products of amenable minimal dynamical systems
Yuhei Suzuki
University of Tokyo, Japan
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Abstract
For an amenable minimal topologically free dynamical system of a group on a compact metrizable space and for a compact metrizable space satisfying a mild condition, we construct a minimal skew product extension of on . This generalizes a result of Glasner and Weiss. We also study the pure infiniteness of the crossed products of minimal dynamical systems arising from this result. In particular, we give a generalization of a result of Rørdam and Sierakowski.
Cite this article
Yuhei Suzuki, Construction of minimal skew products of amenable minimal dynamical systems. Groups Geom. Dyn. 11 (2017), no. 1, pp. 75–94
DOI 10.4171/GGD/388