On the Simplicity of the Lie Algebra of a Leavitt Path Algebra

被引:5
作者
Alahmedi, Adel [1 ]
Alsulami, Hamed [1 ]
机构
[1] King Abdulaziz Univ, Dept Math, POB 82003, Jeddah 21589, Saudi Arabia
关键词
Cuntz-Krieger C*-algebras; Leavitt path algebra; Lie algebra;
D O I
10.1080/00927872.2015.1130132
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a field F and a row-finite directed graph , let L() be the associated Leavitt path algebra. We find necessary and sufficient conditions for the Lie algebra [L(), L()] to be simple.
引用
收藏
页码:4114 / 4120
页数:7
相关论文
共 12 条
  • [1] The Leavitt path algebra of a graph
    Abrams, G
    Pino, GA
    [J]. JOURNAL OF ALGEBRA, 2005, 293 (02) : 319 - 334
  • [2] Chain conditions for Leavitt path algebras
    Abrams, Gene
    Aranda Pino, Gonzalo
    Perera, Francesc
    Siles Molina, Mercedes
    [J]. FORUM MATHEMATICUM, 2010, 22 (01) : 95 - 114
  • [3] Simple Lie algebras arising from Leavitt path algebras
    Abrams, Gene
    Mesyan, Zachary
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (10) : 2302 - 2313
  • [4] Alahmadi A., 2012, J ALGEBRA APPL, V11, P171
  • [5] Alahmadi A., ARXIV13042385
  • [6] Nonstable K-theory for graph algebras
    Ara, P.
    Moreno, M. A.
    Pardo, E.
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2007, 10 (02) : 157 - 178
  • [7] Pino GA, 2011, REV MAT IBEROAM, V27, P621
  • [8] Colak P., 2011, J ALGEBRA APPL, P10
  • [9] Herstein I. N., 1969, MATH LECT NOTES
  • [10] Herstein I. N., 1976, MATH LECT NOTES