LEAVITT PATH ALGEBRAS AS PARTIAL SKEW GROUP RINGS

被引：26
|
作者：
Goncalves, Daniel [1 ]
Royer, Danilo [1 ]
机构：
[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
来源：
COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 08期
关键词：
Leavitt path algebras; Partial skew group rings; 16W55; 16D70; 16G99; C-ASTERISK-ALGEBRAS; CLASSIFICATION;
D O I：
10.1080/00927872.2013.790038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We realize Leavitt path algebras as partial skew group rings and give new proofs, based on partial skew group ring theory of the Cuntz-Krieger uniqueness theorem and simplicity criteria for Leavitt path algebras.
引用
收藏
页码：3578 / 3592
页数：15
相关论文
共 50 条
  • [21] The graded Grothendieck group and the classification of Leavitt path algebras
    R. Hazrat
    Mathematische Annalen, 2013, 355 : 273 - 325
  • [22] A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings
    Rigby, Simon W.
    van den Hove, Thibaud
    JOURNAL OF ALGEBRA, 2021, 588 : 200 - 249
  • [23] FP-injective semirings, semigroup rings and Leavitt path algebras
    Johnson, Marianne
    Tran Giang Nam
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 1893 - 1906
  • [24] Outer Partial Actions and Partial Skew Group Rings
    Nystedt, Patrik
    Oinert, Johan
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2015, 67 (05): : 1144 - 1160
  • [25] 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
  • [26] The dynamics of Leavitt path algebras
    Hazrat, R.
    JOURNAL OF ALGEBRA, 2013, 384 : 242 - 266
  • [27] 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
  • [28] Commutator Leavitt Path Algebras
    Mesyan, Zachary
    ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (05) : 1207 - 1232
  • [29] Leavitt Path Algebras Preface
    Abrams, Gene
    Ara, Pere
    Siles Molina, Mercedes
    LEAVITT PATH ALGEBRAS, 2017, 2191 : VII - +
  • [30] ON THE MORITA REDUCED VERSIONS OF SKEW GROUP ALGEBRAS OF PATH ALGEBRAS
    Le Meur, Patrick
    QUARTERLY JOURNAL OF MATHEMATICS, 2020, 71 (03): : 1009 - 1047
12345