Quasidiagonal Extension of AT-algebras

被引：0
|
作者：
王春鹏
刘欣
机构：
[1] Institute of Mathematics,Jilin University,Changchun,130012
[2] School of Mathematics and Statistics,Northeast Normal University,Changchun,130024 ,School of Public Health,Jilin University,Changchun,130012
来源：
Northeastern Mathematical Journal | 2005年 / 03期
关键词：
AT-algebra; real rank zero; stable rank one; quasidiagonal extension;
D O I：
10.13447/j.1674-5647.2005.03.015
中图分类号：
O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];
学科分类号：
070104 ;
摘要：
Let A and B be C*-algebras. An extension of B by A is a short exact sequence 0 →A -→E→B→0. (*) Suppose that A is an AT-algebra with real rank zero and B is any .AT-algebra. We prove that E is an AT-algebra if and only if the extension (*) is quasidiagonal.
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页码：117 / 122
页数：6
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