TOPOLOGICAL BOUNDARIES OF COVARIANT REPRESENTATIONS

被引：0
|
作者：
Amini, Massoud [1 ]
Zavar, Sajad [2 ]
机构：
[1] Tarbiat Modares Univ, Dept Pure Math, Tehran 14115134, Iran
[2] Kharazmi Univ, Fac Math & Comp Sci, Tehran 1571914911, Iran
来源：
MATHEMATICA SCANDINAVICA | 2023年 / 129卷 / 01期
关键词：
EXACTNESS; INJECTIVITY; SIMPLICITY;
D O I：
10.7146/math.scand.a-135771
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We associate a boundary B,,,u to each covariant representation (7r, u, H) of a C*-dynamical system (G, A, & alpha;) and study the action of G on B,,,u and its amenability properties. We relate rigidity properties of traces on the associated crossed product C*-algebra to faithfulness of the action of the group on this boundary.
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页码：117 / 139
页数：23
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