The (**)-Haagerup Property for C*-Algebras

被引：0

作者：

Li, Changjing ^{[1
]}

Fang, Xiaochun ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

C*-algebras; Von Neumann algebras; Haagerup property; APPROXIMATION PROPERTY; HAAGERUP PROPERTY;

D O I：

10.1007/s11401-016-0958-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending the notion of Haagerup property for finite von Neumann algebras to the general von Neumann algebras, the authors define and study the (**)-Haagerup property for C*-algebras in this paper. They first give an answer to Suzuki's question (2013), and then obtain several results of (**)-Haagerup property parallel to those of Haagerup property for C*-algebras. It is proved that a nuclear unital C*-algebra with a faithful tracial state always has the (**)-Haagerup property. Some heredity results concerning the (**)-Haagerup property are also proved.

引用

页码：367 / 372

页数：6

共 50 条

[1] Haagerup property for C*-algebras
Dong, Z.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 631 - 644
[2] The (**)-Haagerup property for C*-algebras
Changjing Li
Xiaochun Fang
[J]. Chinese Annals of Mathematics, Series B, 2016, 37 : 367 - 372
[3] The(**)-Haagerup Property for C*-Algebras
Changjing LI
Xiaochun FANG
[J]. Chinese Annals of Mathematics(Series B), 2016, 37 (03) : 367 - 372
[4] Haagerup property for C*-algebras and rigidity of C*-algebras with property (T)
Suzuki, Yuhei
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (08) : 1778 - 1799
[5] THE WEAK HAAGERUP PROPERTY FOR C*-ALGEBRAS
Meng, Qing
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (04): : 502 - 511
[6] The Haagerup approximation property for arbitrary C*-algebras
Meng, Qing
Wang, Liguang
[J]. LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (07): : 1275 - 1285
[7] GROUP ACTION PRESERVING THE HAAGERUP PROPERTY OF C*-ALGEBRAS
You, Chao
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (02) : 295 - 300
[8] The Haagerup Property for Arbitrary von Neumann Algebras
Caspers, Martijn
Skalski, Adam
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (19) : 9857 - 9887
[9] Relative Haagerup property for arbitrary von Neumann algebras
Caspers, Martijn
Klisse, Mario
Skalski, Adam
Vos, Gerrit
Wasilewski, Mateusz
[J]. ADVANCES IN MATHEMATICS, 2023, 421
[10] Haagerup Approximation Property for Arbitrary von Neumann Algebras
Okayasu, Rui
Tomatsu, Reiji
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2015, 51 (03) : 567 - 603

← 1 2 3 4 5 →