Quasidiagonal C*-subalgebras of multi-plier algebras of certain C*-algebras

被引:0
|
作者
Zhao, Yile [1 ]
Fang, Xiaochun [1 ]
机构
[1] Department of Mathematics, Tongji University, Shanghai 200092, China
来源
Tongji Daxue Xuebao/Journal of Tongji University | 2008年 / 36卷 / 09期
关键词
C (programming language);
D O I
暂无
中图分类号
学科分类号
摘要
Based on the assumption that the C*-algebra I has an approximate unit consisting of projections, the paper presents a class of C*-subalgebras of M(I) with the C*-algebra I as an ideal. Every element of these given C*-subalgebras proves to be weakly quasidiagonal and there lationship among them is proved too. The paper also presents the answer to the lifting problems of the projections of the corresponding quotient C*-algebras.
引用
收藏
页码:1282 / 1285
相关论文
共 50 条
  • [21] HEREDITARY C*-SUBALGEBRAS OF GRAPH C*-ALGEBRAS
    Arklint, Sara E.
    Gabe, James
    Ruiz, Efren
    JOURNAL OF OPERATOR THEORY, 2020, 84 (01) : 99 - 126
  • [22] QUASIDIAGONAL OPERATORS, APPROXIMATION, AND C-STAR-ALGEBRAS
    DAVIDSON, KR
    HERRERO, DA
    SALINAS, N
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (04) : 973 - 998
  • [23] CERTAIN SUBALGEBRAS OF BOOLEAN ALGEBRAS
    PETTIS, BJ
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (01) : 58 - 58
  • [24] On Conjugacy of Subalgebras of Graph C*-Algebras
    Hayashi, Tomohiro
    Hong, Jeong Hee
    Mikkelsen, Sophie Emma
    Szymanski, Wojciech
    GEOMETRIC METHODS IN PHYSICS XXXVII, 2020, : 163 - 173
  • [25] Noncommutative Cartan subalgebras of C*-algebras
    Exel, Ruy
    NEW YORK JOURNAL OF MATHEMATICS, 2011, 17 : 331 - 382
  • [26] Abelian C*-subalgebras of C*-algebras of real rank zero and inductive limit C*-algebras
    Elliott, GA
    Gong, GH
    Lin, HX
    Pasnicu, C
    DUKE MATHEMATICAL JOURNAL, 1996, 85 (03) : 511 - 554
  • [27] Perturbations of intermediate C*-subalgebras for simple C*-algebras
    Ino, Shoji
    Watatani, Yasuo
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 : 469 - 480
  • [28] C*-algebras of labelled spaces and their diagonal C*-subalgebras
    Boava, Giuliano
    de Castro, Gilles G.
    Mortari, Fernando de L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (01) : 69 - 98
  • [29] On a family of C*-subalgebras of Cuntz–Krieger algebras
    Kengo Matsumoto
    Acta Scientiarum Mathematicarum, 2022, 88 : 739 - 767
  • [30] On a class of smooth Frechet subalgebras of C*-algebras
    SUBHASH J BHATT
    DINESH J KARIA
    MEETAL M SHAH
    Proceedings - Mathematical Sciences, 2013, 123 : 393 - 413