Complex Kumjian-Pask algebras

被引：0
|
作者：
Rizky Rosjanuardi
机构：
[1] Universitas Pendidikan Indonesia,Jurusan Pendidikan Matematika
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Graph algebra; -graph; Kumjian-Pask algebra; Leavitt-path algebra; 16S10; 46L05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let Λ be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPℂ(Λ) and graph algebra C*(Λ). We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra, and the conditions in which the Kumjian-Pask algebra is finite-dimensional.
引用
收藏
页码：2073 / 2078
页数：5
相关论文
共 50 条
  • [31] A simplicial complex of Nichols algebras
    M. Cuntz
    S. Lentner
    Mathematische Zeitschrift, 2017, 285 : 647 - 683
  • [32] A note on complex algebras of semigroups
    Jipsen, P
    RELATIONAL AND KLEENE-ALGEBRAIC METHODS IN COMPUTER SCIENCE, 2003, 3051 : 171 - 177
  • [33] ON THE RIGID COMPLEX ASSOCIATIVE ALGEBRAS
    GOZE, M
    MAKHLOUF, A
    COMMUNICATIONS IN ALGEBRA, 1990, 18 (12) : 4031 - 4046
  • [34] COMPLEX BANACH ALGEBRAS WITH AN INVOLUTION
    YOOD, B
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (01) : 46 - 46
  • [35] A simplicial complex of Nichols algebras
    Cuntz, M.
    Lentner, S.
    MATHEMATISCHE ZEITSCHRIFT, 2017, 285 (3-4) : 647 - 683
  • [36] Axiomatizing complex algebras by games
    Ian Hodkinson
    Szabolcs Mikulás
    Yde Venema
    algebra universalis, 2001, 46 : 455 - 478
  • [37] PRIMITIVE SUB-ALGEBRAS OF THE COMPLEX LIE-ALGEBRAS
    CHEKALOV, IV
    DOKLADY AKADEMII NAUK BELARUSI, 1979, 23 (09): : 773 - 776
  • [38] On cohomology algebras of complex subspace arrangements
    Feichtner, EM
    Ziegler, GM
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (08) : 3523 - 3555
  • [39] A complex for the cohomology of restricted Lie algebras
    Evans, Tyler J.
    Fuchs, Dmitry
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2008, 3 (01) : 159 - 179
  • [40] Toeplitz operator algebras and complex analysis
    Upmeier, Harald
    OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS, 2008, 181 : 67 - +
12345