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
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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.
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页码：17 / 53
页数：37
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