Certain Properties of $K_0$-monoids Preserved by Tracial Approximation

Canadian mathematical bulletin

Qingzhai Fan¹ 

[1] Department of Mathematics, Shanghai Maritime University, 1550 Haigang Ave., New Harbor City, Shanghai 201306, China

关键词: $C^*$-algebra;    tracial approximation;    $K_0$-monoid;   

DOI  :  10.4153/CMB-2011-183-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We show that the following $K_0$-monoid properties of $C^*$-algebrasin the class $Omega$ are inherited by simple unital $C^*$-algebras inthe class $TAOmega$: (1) weak comparability, (2) strictlyunperforated, (3) strictly cancellative.

【 授权许可】

Unknown