EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II

被引：2
|
作者：
Liu, Shudong [1 ]
Fang, Xiaochun [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 01期
基金：
中国国家自然科学基金;
关键词：
C*-algebra; extension; Cuntz algebra; APPROXIMATE UNITARY EQUIVALENCE; CSTAR-ALGEBRAS;
D O I：
10.1017/S0004972709000227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E-infinity of the Cuntz algebra O-infinity, by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E-infinity to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and only if they induce the same homomorphisms in K-theory.
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页码：83 / 90
页数：8
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