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
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
收藏
页码:275 / 281
页数:7
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