Embedding of exact C*-algebras in the Cuntz algebra O2

被引：0

作者：

Kirchberg, E

Phillips, NC

机构：

[1] Humboldt Univ, Math Inst, D-10099 Berlin, Germany

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2000年 / 525卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any separable exact C*-algebra is isomorphic to a subalgebra of the Cuntz algebra O-2. We further prove that if A is a simple separable unital nuclear C*-algebra, then O-2 x A congruent to O-2, and if, in addition, A is purely infinite, then O-infinity x A congruent to A.

引用

页码：17 / 53

页数：37

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