THE WEAK HAAGERUP PROPERTY FOR C*-ALGEBRAS

被引：6

作者：

Meng, Qing ^{[1
,2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Jining 273165, Shandong, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2017年 / 8卷 / 04期

基金：

中国国家自然科学基金;

关键词：

C*-algebra; weak Haagerup property; tracial state; HERZ-SCHUR MULTIPLIERS;

D O I：

10.1215/20088752-2017-0014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define and study the weak Haagerup property for C*-algebras in this article. A C*-algebra with the Haagerup property always has the weak Haagerup property. We prove that a discrete group has the weak Haagerup property if and only if its reduced group C*-algebra also has that property. Moreover, we consider the permanence of the weak Haagerup property under a few canonical constructions of C*-algebras.

引用

页码：502 / 511

页数：10

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