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
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] Classification of unital simple Leavitt path algebras of infinite graphs
    Ruiz, Efren
    Tomforde, Mark
    JOURNAL OF ALGEBRA, 2013, 384 : 45 - 83
  • [22] Applications of Normal Forms for Weighted Leavitt Path Algebras: Simple Rings and Domains
    Hazrat, Roozbeh
    Preusser, Raimund
    ALGEBRAS AND REPRESENTATION THEORY, 2017, 20 (05) : 1061 - 1083
  • [23] Leavitt path algebras of quantum quivers
    Graham, Joshua
    Goswami, Rishabh
    Palin, Jason
    ARCHIV DER MATHEMATIK, 2025, 124 (01) : 29 - 48
  • [24] Classification conjectures for Leavitt path algebras
    Cortinas, Guillermo
    Hazrat, Roozbeh
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2024,
  • [25] A groupoid generalisation of Leavitt path algebras
    Clark, Lisa Orloff
    Farthing, Cynthia
    Sims, Aidan
    Tomforde, Mark
    SEMIGROUP FORUM, 2014, 89 (03) : 501 - 517
  • [26] TENSOR PRODUCTS OF LEAVITT PATH ALGEBRAS
    Ara, Pere
    Cortinas, Guillermo
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (08) : 2629 - 2639
  • [27] On graded primitive Leavitt path algebras
    Rangaswamy, Kulumani M.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (09)
  • [28] The interplay between Steinberg algebras and skew rings
    Beuter, Viviane Maria
    Goncalves, Daniel
    JOURNAL OF ALGEBRA, 2018, 497 : 337 - 362
  • [29] Algebraic bivariant K-theory and Leavitt path algebras
    Cortinas, Guillermo
    Montero, Diego
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2021, 15 (01) : 113 - 146
  • [30] On simple modules over Leavitt path algebras
    Rangaswamy, Kulumani M.
    JOURNAL OF ALGEBRA, 2015, 423 : 239 - 258