Radius of comparison and mean topological dimension: Zd-actions

被引:1
|
作者
Niu, Zhuang [1 ]
机构
[1] Univ Wyoming, Dept Math & Stat, Laramie, WY 82071 USA
关键词
Transformation group C*-algebras; radius of comparison; mean topological dimension; C-ASTERISK-ALGEBRAS; BRODY CURVES;
D O I
10.4153/S0008414X2300038X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Consider aminimal-free topological dynamical system( X, Z(d)). It is shown that the radius of comparison of the crossed product C*-algebra C(X) (sic) Z(d) is at most half the mean topological dimension of ( X, Z(d)). As a consequence, the C*-algebra C(X) (sic) Z(d) is classified by the Elliott invariant if the mean dimension of (X, Z(d)) is zero.
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页码:1240 / 1266
页数:27
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