Leavitt Path Algebras and Direct Limits

被引：0
|
作者：
Goodearl, K. R. [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
RINGS, MODULES AND REPRESENTATIONS | 2009年 / 480卷
关键词：
Leavitt path algebra; uncountable graph; direct limit; EXCHANGE RINGS; ARBITRARY GRAPHS; STABLE RANK; MODULES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An introduction to Leavitt path algebras of arbitrary directed graphs is presented, and direct limit techniques are developed, with which many results that had previously been proved for countable graphs can be extended to uncountable ones. Such results include characterizations of simplicity, characterizations of the exchange property, and cancellation conditions for the K-theoretic monoid of equivalence classes of idempotent matrices.
引用
收藏
页码：165 / 187
页数：23
相关论文
共 50 条
  • [1] Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras
    Preusser, Raimund
    ALGEBRAS AND REPRESENTATION THEORY, 2021, 24 (02) : 403 - 423
  • [2] Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras
    Raimund Preusser
    Algebras and Representation Theory, 2021, 24 : 403 - 423
  • [3] Corners of Leavitt path algebras of finite graphs are Leavitt path algebras
    Abrams, Gene
    Tran Giang Nam
    JOURNAL OF ALGEBRA, 2020, 547 : 494 - 518
  • [4] 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
  • [5] The dynamics of Leavitt path algebras
    Hazrat, R.
    JOURNAL OF ALGEBRA, 2013, 384 : 242 - 266
  • [6] 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
  • [7] Commutator Leavitt Path Algebras
    Mesyan, Zachary
    ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (05) : 1207 - 1232
  • [8] Leavitt Path Algebras Preface
    Abrams, Gene
    Ara, Pere
    Siles Molina, Mercedes
    LEAVITT PATH ALGEBRAS, 2017, 2191 : VII - +
  • [9] Commutator Leavitt Path Algebras
    Zachary Mesyan
    Algebras and Representation Theory, 2013, 16 : 1207 - 1232
  • [10] The Leavitt Path Algebras of Ultragraphs
    Imanfar, Mostafa
    Pourabbas, Abdolrasoul
    Larki, Hossein
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (01): : 21 - 43
12345