Uniform property Γ for certain C*-algebras

被引：0

作者：

Fan, Qingzhai ^{[1
,2
]}

Zhang, Shan ^{[1
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

[2] Shanghai Jian Qiao Univ, China Coll Educ, Shanghai 201306, Peoples R China

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2022年

关键词：

C*-algebras; tracial approximation; Cuntz semigroup; CROSSED-PRODUCTS; CLASSIFICATION; RANK;

D O I：

10.4153/S0008439521001065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, let A be an infinite-dimensional stably finite unital simple separable C*-algebra. Let B subset of A be a centrally large subalgebra in A such that B has uniform property Gamma. Then we prove that A has uniform property Gamma. Let Omega be a class of stably finite unital C*-algebras such that for any B is an element of Omega, B has uniform property Gamma. Then we show that A has uniform property Gamma for any simple unital C*-algebra A is an element of TA Omega.

引用

页码：1063 / 1070

页数：8

共 17 条

[1] PERMANENCE OF STABLE RANK ONE FOR CENTRALLY LARGE SUBALGEBRAS AND CROSSED PRODUCTS BY MINIMAL HOMEOMORPHISMS [J].

Archey, Dawn E. ;

Phillips, N. Christopher .

JOURNAL OF OPERATOR THEORY, 2020, 83 (02) :353-389

[2] Covering Dimension of C*-Algebras and 2-Coloured Classification [J].

Bosa, Joan ;

Brown, Nathanial P. ;

Sato, Yasuhiko ;

Tikuisis, Aaron ;

White, Stuart ;

Winter, Wilhelm .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 257 (1233) :1-+

[3]

Castillejos J., 2021, INT MATH RES NOT IMR, DOI [10.1093/imrn/rnaa282, DOI 10.1093/IMRN/RNAA282]

[4]

Castillejos J, 2021, INVENT MATH, V224, P245, DOI 10.1007/s00222-020-01013-1

[5] CLASSIFICATION OF INDUCTIVE LIMITS OF SEQUENCES OF SEMISIMPLE FINITE-DIMENSIONAL ALGEBRAS [J].

ELLIOTT, GA .

JOURNAL OF ALGEBRA, 1976, 38 (01) :29-44

[6]

Elliott GA., 2018, C. R. Math. Acad. Sci. Soc. R. Can, V40, P104

[7] Regularity properties in the classification program for separable amenable C*-algebras [J].

Elliott, George A. ;

Toms, Andrew S. .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 45 (02) :229-245

[8] On tracial approximation [J].

Elliott, George A. ;

Niu, Zhuang .

JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 254 (02) :396-440

[9] Certain Cuntz Semigroup Properties of Certain Crossed Product C*-algebras [J].

Fan, Qing Zhai .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (03) :337-362

[10]

Fan QZ, 2018, ACTA MATH SCI, V38, P829, DOI 10.1016/S0252-9602(18)30787-2

← 1 2 →