ON LABELED GRAPH C*-ALGEBRAS

被引:1
作者
Banjade, Debendra P. [1 ]
Ephrem, Menassie [1 ]
机构
[1] Coastal Carolina Univ, Dept Math & Stat, Conway, SC 29528 USA
关键词
labeled graph; directed graph; Cuntz-Krieger algebra; labeled graph C*-algebra;
D O I
10.1216/rmj.2020.50.863
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a directed graph E and a labeling L, one forms the labeled graph C*-algebra by taking a weakly left-resolving labeled space (E, L, B) and considering a universal generating family of partial isometrics and projections. We work on ideals for a labeled graph C*-algebra when the graph contains sinks. Using some of the tools we build, we compute C* (E, L, B) when E is a finite graph.
引用
收藏
页码:863 / 870
页数:8
相关论文
共 9 条
  • [1] Bates T, 2007, J OPERAT THEOR, V57, P207
  • [2] Bates T, 2009, MATH SCAND, V104, P249
  • [3] SIMPLE CSTAR-ALGEBRAS GENERATED BY ISOMETRIES
    CUNTZ, J
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 57 (02) : 173 - 185
  • [4] Ephrem M., 2020, HOUSTON J MATH, V46, P377
  • [5] Ephrem M, 2011, N Y J MATH, V17, P1
  • [6] AF labeled graph C*-algebras
    Jeong, Ja A.
    Kang, Eun Ji
    Kim, Sun Ho
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (04) : 2153 - 2173
  • [7] The structure of gauge-invariant ideals of labelled graph C*-algebras
    Jeong, Ja A.
    Kim, Sun Ho
    Park, Gi Hyun
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (04) : 1759 - 1780
  • [8] Graphs, groupoids, and Cuntz-Krieger algebras
    Kumjian, A
    Pask, D
    Raeburn, I
    Renault, J
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 144 (02) : 505 - 541
  • [9] Cuntz-Krieger algebras of directed graphs
    Kumjian, A
    Pask, D
    Raeburn, I
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1998, 184 (01) : 161 - 174