AT-algebras and extensions of AT-algebras

被引：0
|
作者：
Yao, Hongliang [1 ,2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210014, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2010年 / 120卷 / 02期
关键词：
AF-algebra; AT-algebra; extension; index map; C-ASTERISK-ALGEBRAS; CLASSIFICATION; LIMITS;
D O I：
10.1007/s12044-010-0019-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Lin and Su classified AT-algebras of real rank zero. This class includes all AT-algebras of real rank zero as well as many C*-algebras which are not stably finite. An AT-algebra often becomes an extension of an AT-algebra by an AF-algebra. In this paper, we show that there is an essential extension of an AT-algebra by an AF-algebra which is not an AT-algebra. We describe a characterization of an extension E of an AT-algebra by an AF-algebra if E is an AT-algebra.
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页码：199 / 207
页数：9
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