A class of simple C*-algebras with stable rank one

被引：15
|
作者：
Elliott, George A.
Ho, Toan M. [1 ,2 ]
Toms, Andrew S. [1 ,2 ]
机构：
[1] York Univ, Dept Math & Stat, Toronto, ON M3J 193, Canada
[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 02期
关键词：
All algebras; Stable rank; Dimension growth; REAL RANK; STAR-ALGEBRAS; ZERO; CLASSIFICATION; REDUCTION;
D O I：
10.1016/j.jfa.2008.08.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the limits of inductive sequences (A(i), phi(i)) where each A(i) is a direct sum of full matrix algebras over compact metric spaces and each partial map of phi(i) is diagonal. We give a new characterisation of simplicity for such algebras, and apply it to prove that the said algebras have stable rank one whenever they are simple and unital. Significantly, our results do not require any dimension growth assumption. (C) 2008 Elsevier Inc. All rights reserved.
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页码：307 / 322
页数：16
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