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

共 50 条

[31] q-ARAKI-WOODS ALGEBRAS: EXTENSION OF SECOND QUANTISATION AND HAAGERUP APPROXIMATION PROPERTY
Wasilewski, Mateusz
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (12) : 5287 - 5298
[32] THE IDEAL STRUCTURE OF THE HAAGERUP TENSOR PRODUCT OF C-ASTERISK-ALGEBRAS
ALLEN, SD
SINCLAIR, AM
SMITH, RR
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1993, 442 : 111 - 148
[33] On graph products of multipliers and the Haagerup property for C*-dynamical systems
Atkinson, Scott
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (12) : 3188 - 3216
[34] Finite von Neumann algebras with Haagerup property and L2-compact groups
Jolissaint, P
Martin, F
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (01) : 35 - 48
[35] THE WEAK TRACIAL ROKHLIN PROPERTY FOR FINITE GROUP ACTIONS ON SIMPLE C*-ALGEBRAS
Forough, Marzieh
Golestani, Nasser
[J]. DOCUMENTA MATHEMATICA, 2020, 25 : 2507 - 2552
[36] Local similarities and the Haagerup property
Hughes, Bruce
[J]. GROUPS GEOMETRY AND DYNAMICS, 2009, 3 (02) : 299 - 315
[37] The Haagerup Approximation Property for von Neumann Algebras via Quantum Markov Semigroups and Dirichlet Forms
Martijn Caspers
Adam Skalski
[J]. Communications in Mathematical Physics, 2015, 336 : 1637 - 1664
[38] An exotic group with the Haagerup property
Barre, Sylvain
Pichot, Mikael
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (03) : 451 - 460
[39] The Haagerup Approximation Property for von Neumann Algebras via Quantum Markov Semigroups and Dirichlet Forms
Caspers, Martijn
Skalski, Adam
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 336 (03) : 1637 - 1664
[40] The weak* similarity property on dual operator algebras
Christian Le Merdy
[J]. Integral Equations and Operator Theory, 2000, 37 : 72 - 94

← 1 2 3 4 5 →