Approximations of C*-algebras and the ideal property

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:338

Article

Carrion, Jose R.¹  Pasnicu, Comel¹ 

[1] Univ Puerto Rico, Dept Math, Rio Piedras, PR 00931 USA

关键词: C*-algebra;    local approximation;    ideal generated by projections;    ideal property;    LS algebra;    minimal tensor product;    extension;    quasidiagonal extension;    WLB algebra;    weak projection property;    real rank zero;    Riesz decomposition property;    SLB algebra;    largest ideal with the ideal property;   

DOI  :  10.1016/j.jmaa.2007.05.074

来源: Elsevier

【 摘 要 】

We introduce several classes of C*-algebras (using for this local approximations by nice C*-algebras), that generalize the AH algebras, among others. We initiate their study, proving mainly results about the ideal property, but also about the ideals generated by their projections, the real rank zero, the weak projection property, minimal tensor products, extensions, quasidiagonal extensions, ideal structure, the largest ideal with the ideal property and short exact sequences. Some of the previous results of the second named author are generalized. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free