A classification theorem for direct limits of extensions of circle algebras by purely infinite C*-algebras

被引:0
|
作者
Ruiz, Efren [1 ,2 ]
机构
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Hawaii, Dept Math, Hilo, HI 96720 USA
关键词
classification; nuclear C*-algebras; extensions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a classification theorem for a class of C*-algebras which are direct limits of finite direct sums of epsilon(0)-algebras. The invariant consists of the following: (1) the set of Murray-von Neumann equivalence classes of projections; (2) the set of homotopy classes of hyponormal partial isometries; (3) a map d; and (4) total K-theory.
引用
收藏
页码:311 / 349
页数:39
相关论文
共 50 条
  • [31] The classification of separable simple C*-algebras which are inductive limits of continuous-trace C*-algebras with spectrum homeomorphic to the closed interval [0,1]
    Elliott, George A.
    Ivanescu, Cristian
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 254 (04) : 879 - 903
  • [32] Inductive limits of subhomogeneous C*-algebras with Hausdorff spectrum
    Lin, Huaxin
    JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (06) : 1909 - 1932
  • [33] Classification of real approximate interval C*-algebras
    Dean, A. J.
    Moreno, L. Santiago
    NEW YORK JOURNAL OF MATHEMATICS, 2023, 29 : 818 - 847
  • [34] Smoothing operators and C*-algebras for infinite dimensional Lie groups
    Neeb, Karl-Hermann
    Salmasian, Hadi
    Zellner, Christoph
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (05)
  • [35] Equivalent Definitions of Infinite Positive Elements in Simple C*-algebras
    Fang, Xiaochun
    Wang, Lin
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 53 (02): : 256 - 262
  • [36] EXTENSIONS OF CERTAIN REAL RANK ZERO C-ASTERISK-ALGEBRAS
    DADARLAT, M
    LORING, A
    ANNALES DE L INSTITUT FOURIER, 1994, 44 (03) : 907 - 925
  • [37] THE EXTENSIONS OF C*-ALGEBRAS WITH TRACIAL TOPOLOGICAL RANK NO MORE THAN ONE
    Fang, Xiaochun
    Zhao, Yile
    ILLINOIS JOURNAL OF MATHEMATICS, 2009, 53 (02) : 441 - 462
  • [38] On the classification of certain real rank zero C*-algebras
    Qingnan An
    Zhichao Liu
    Yuanhang Zhang
    Science China Mathematics, 2022, 65 : 753 - 792
  • [39] On the classification of certain real rank zero C*-algebras
    An, Qingnan
    Liu, Zhichao
    Zhang, Yuanhang
    SCIENCE CHINA-MATHEMATICS, 2022, 65 (04) : 753 - 792
  • [40] Classification of certain non-simple C*-algebras
    Mortensen, J
    JOURNAL OF OPERATOR THEORY, 1999, 41 (02) : 223 - 259