AT-algebras and extensions of AT-algebras

被引：0
|
作者：
Yao, Hongliang [1 ,2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210014, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2010年 / 120卷 / 02期
关键词：
AF-algebra; AT-algebra; extension; index map; C-ASTERISK-ALGEBRAS; CLASSIFICATION; LIMITS;
D O I：
10.1007/s12044-010-0019-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Lin and Su classified AT-algebras of real rank zero. This class includes all AT-algebras of real rank zero as well as many C*-algebras which are not stably finite. An AT-algebra often becomes an extension of an AT-algebra by an AF-algebra. In this paper, we show that there is an essential extension of an AT-algebra by an AF-algebra which is not an AT-algebra. We describe a characterization of an extension E of an AT-algebra by an AF-algebra if E is an AT-algebra.
引用
收藏
页码：199 / 207
页数：9
相关论文
共 50 条
  • [41] Representations of Hopf-Ore Extensions of Group Algebras and Pointed Hopf Algebras of Rank One
    Wang, Zhen
    You, Lan
    Chen, Hui-Xiang
    ALGEBRAS AND REPRESENTATION THEORY, 2015, 18 (03) : 801 - 830
  • [42] K-theoretic duality for extensions of Cuntz-Krieger algebras
    Matsumoto, Kengo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (02)
  • [43] Extensions of conformal modules over Lie conformal algebras of Block type
    Su, Yucai
    Xia, Chunguang
    Yuan, Lamei
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (05)
  • [44] SOLVABLE INDECOMPOSABLE EXTENSIONS OF TWO NILPOTENT LIE ALGEBRAS
    Shabanskaya, A.
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (08) : 3626 - 3667
  • [45] Representable extensions of positive functionals and hermitian Banach *-algebras
    Szucs, Zs.
    Takacs, B.
    ACTA MATHEMATICA HUNGARICA, 2019, 158 (01) : 66 - 86
  • [46] Representable extensions of positive functionals and hermitian Banach *-algebras
    Zs. Szűcs
    B. Takács
    Acta Mathematica Hungarica, 2019, 158 : 66 - 86
  • [47] Central extensions of 3-dimensional Zinbiel algebras
    Ivan Kaygorodov
    María Alejandra Alvarez
    Thiago Castilho de Mello
    Ricerche di Matematica, 2023, 72 : 921 - 947
  • [48] Central extensions of 2-filiform Leibniz algebras
    Adashev, Jobir
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (05) : 1886 - 1899
  • [49] Representations of Hopf-Ore Extensions of Group Algebras
    Sun, Hua
    Chen, Hui-Xiang
    Zhang, Yinhuo
    ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (05) : 1441 - 1463
  • [50] COHOMOLOGIES, EXTENSIONS AND DEFORMATIONS OF DIFFERENTIAL ALGEBRAS OF ARBITRARY WEIGHT
    Guo, Li
    LI, Yunnan
    Sheng, Yunhe
    Zhou, Guodong
    THEORY AND APPLICATIONS OF CATEGORIES, 2022, 38 : 1409 - 1433
12345