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.

引用

页码：83 / 90

页数：8

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