Construction of minimal skew products of amenable minimal dynamical systems

被引：4

作者：

Suzuki, Yuhei ^{[1
]}

机构：

[1] Univ Tokyo, Dept Math Sci, Tokyo 1538914, Japan

来源：

GROUPS GEOMETRY AND DYNAMICS | 2017年 / 11卷 / 01期

关键词：

C*-algebras; amenable actions; pure infiniteness; C-ASTERISK-ALGEBRAS; CROSSED-PRODUCTS; DISCRETE-GROUPS; STAR-ALGEBRAS; CLASSIFICATION;

D O I：

10.4171/GGD/388

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an amenable minimal topologically free dynamical system. 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. on Z Y. This generalizes a result of Glasner andWeiss. 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 Rordam and Sierakowski.

引用

页码：75 / 94

页数：20

共 28 条

[1] Purely infinite C*-algebras arising from dynamical systems [J].