Weak Haagerup property of dynamical systems

被引：5

作者：

Meng, Qing ^{[1
]}

Wang, Liguang ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Weak Haagerup property; Herz-Schur; (A; G; alpha)-multiplier; Herz-Schur W*-multiplier; C-ASTERISK-ALGEBRAS;

D O I：

10.1080/03081087.2018.1451478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Herz-Schur multipliers of a C*-dynamical system, we introduce the weak Haagerup property of a C*-dynamical system and prove that it is equivalent to the weak Haagerup property of the associated C*-crossed product. On the other hand, we investigate an additional assumption under which the weak Haagerup property of the original C*-algebra and the group implies that of the associated C*-dynamical system. We also define and study the weak Haagerup property of a W*-dynamical system.

引用

页码：1294 / 1307

页数：14

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