Notes on AT-algebras and extensions of AT-algebras by K

被引：1

作者：

Yao, Hongliang ^{[1
,2
]}

Fang, Xiaochun ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210014, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2010年 / 42卷

基金：

中国国家自然科学基金;

关键词：

LIMITS;

D O I：

10.1112/blms/bdp124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

H. Lin and H. Su classified AT-algebras of real rank zero. An AT-algebra often becomes an extension of an AT-algebra by an AF-algebra. In this paper, we define a new invariant pi(A) of C*-algebra A by partial isometries and give a necessary condition on which a C*-algebra is an AT-algebra. We demonstrate that there is an essential extension of an AT-algebra with real rank zero by K which is not an AT-algebra.

引用

页码：275 / 281

页数：7

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