Completions of Leavitt path algebras

被引:2
|
作者
Alahmadi, Adel [1 ]
Alsulami, Hamed [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
关键词
Associative algebra; Leavitt path algebra; Topological algebra; GRAPH;
D O I
10.1007/s13373-015-0079-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a class of topologies on the Leavitt path algebra of a finite directed graph and decompose a graded completion as a direct sum of minimal ideals.
引用
收藏
页码:145 / 161
页数:17
相关论文
共 50 条
  • [1] Centers of Leavitt path algebras and their completions
    Alahmadi, Adel
    Alsulami, Hamed
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (05)
  • [2] Strong gradings on Leavitt path algebras, Steinberg algebras and their C*-completions
    Clark, Lisa Orloff
    Dawson, Ellis
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (02) : 453 - 464
  • [3] Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras
    Preusser, Raimund
    ALGEBRAS AND REPRESENTATION THEORY, 2021, 24 (02) : 403 - 423
  • [4] Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras
    Raimund Preusser
    Algebras and Representation Theory, 2021, 24 : 403 - 423
  • [5] Corners of Leavitt path algebras of finite graphs are Leavitt path algebras
    Abrams, Gene
    Tran Giang Nam
    JOURNAL OF ALGEBRA, 2020, 547 : 494 - 518
  • [6] Centers of Path Algebras, Cohn and Leavitt Path Algebras
    María G. Corrales García
    Dolores Martín Barquero
    Cándido Martín González
    Mercedes Siles Molina
    José F. Solanilla Hernández
    Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1745 - 1767
  • [7] The dynamics of Leavitt path algebras
    Hazrat, R.
    JOURNAL OF ALGEBRA, 2013, 384 : 242 - 266
  • [8] Centers of Path Algebras, Cohn and Leavitt Path Algebras
    Corrales Garcia, Maria G.
    Martin Barquero, Dolores
    Martin Gonzalez, Candido
    Siles Molina, Mercedes
    Solanilla Hernandez, Jose F.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1745 - 1767
  • [9] Commutator Leavitt Path Algebras
    Mesyan, Zachary
    ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (05) : 1207 - 1232
  • [10] Leavitt Path Algebras Preface
    Abrams, Gene
    Ara, Pere
    Siles Molina, Mercedes
    LEAVITT PATH ALGEBRAS, 2017, 2191 : VII - +