Geodesic
Construction of minimal skew products of amenable minimal dynamical systems
Yuhei Suzuki1
1University of Tokyo, Japan
Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 75-94

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DOI

For an amenable minimal topologically free dynamical system α of a group on a compact metrizable space Z and for a compact metrizable space Y satisfying a mild condition, we construct a minimal skew product extension of α on Z×Y. 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.
DOI : 10.4171/ggd/388
Classification : 37-XX, 54-XX
Mots-clés : C∗-algebras, amenable actions, pure infiniteness

Yuhei Suzuki  1

1 University of Tokyo, Japan 
Yuhei Suzuki. Construction of minimal skew products of amenable minimal dynamical systems. Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 75-94. doi: 10.4171/ggd/388
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     title = {Construction of minimal skew products of amenable minimal dynamical systems},
     journal = {Groups, geometry, and dynamics},
     pages = {75--94},
     year = {2017},
     volume = {11},
     number = {1},
     doi = {10.4171/ggd/388},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/388/}
}
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