THE STABLE RANK OF A CLASS OF C*-ALGEBRAS WITH THE IDEAL PROPERTY

被引：0
|
作者：
Luo, Qiuwen [1 ]
机构：
[1] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050016, Hebei, Peoples R China
来源：
JOURNAL OF OPERATOR THEORY | 2024年 / 92卷 / 01期
关键词：
Stable rank one; the ideal property; diagonal *-homomorphism; INDUCTIVE LIMITS; AH-ALGEBRAS; K-THEORY; DIMENSION; REDUCTION;
D O I：
10.7900/jot.2022aug22.2432
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that diagonal AH-algebras with the ideal property have stable rank one. Comparing with the result of Pasnicu (see Pacific J. Math. 192 (2000), 159-182), our results do not require any dimension growth assumption. In the procedure of proof we give a new characterization of the ideal property for diagonal AH-algebras.
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页码：145 / 166
页数：22
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