The classification of certain non-simple C*-algebras of tracial rank zero

被引：8
作者：
Fang, Xiaochun [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 12期
基金：
中国国家自然科学基金;
关键词：
C*-algebra; Tracial rank zero; Classification; APPROXIMATE UNITARY EQUIVALENCE; MULTIPLICATIVE MORPHISMS; INDUCTIVE LIMITS; TOPOLOGICAL RANK; HOMOMORPHISMS; PROPERTY; THEOREM;
D O I：
10.1016/j.jfa.2009.03.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the Z(2)-graded ordered K-theory group with order unit (K(*)(A), K(*)(A)(+), [I(A)]) is a complete invariant for the class of unital C*-algebras which are inductive limits of finite direct sums of unital amenable separable simple C*-algebras with tracial rank zero which satisfy the UCT (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：3861 / 3891
页数：31
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