Purely infinite corona algebras of simple C*-algebras

被引：0
|
作者：
Dan Kucerovsky
P. W. Ng
Francesc Perera
机构：
[1] University of New Brunswick at Fredericton,Department of Mathematics
[2] University of Louisiana at Lafayette,Department of Mathematics
[3] Universitat Autònoma de Barcelona,Departament de Matemàtiques
来源：
Mathematische Annalen | 2010年 / 346卷
关键词：
Positive Element; Lower Semicontinuous Function; Stable Rank; Real Rank; Multiplier Ideal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the problem of when the corona algebra of a non-unital C*-algebra is purely infinite. A complete answer is obtained for stabilisations of simple and unital algebras that have enough comparison of positive elements. Our result relates the pure infiniteness condition (from its strongest to weakest forms) to the geometry of the tracial simplex of the algebra, and to the behaviour of corona projections, despite the fact that there is no real rank zero condition.
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页码：23 / 40
页数：17
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