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

页码：3578 / 3592

页数：15

共 50 条

[41] Leavitt Path Algebras of Hypergraphs
Raimund Preusser
Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 185 - 221
[42] Completions of Leavitt path algebras
Alahmadi, Adel
Alsulami, Hamed
BULLETIN OF MATHEMATICAL SCIENCES, 2016, 6 (01) : 145 - 161
[43] Noetherian Leavitt Path Algebras and Their Regular Algebras
Aranda Pino, Gonzalo
Vas, Lia
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1633 - 1656
[44] Applications of Normal Forms for Weighted Leavitt Path Algebras: Simple Rings and Domains
Roozbeh Hazrat
Raimund Preusser
Algebras and Representation Theory, 2017, 20 : 1061 - 1083
[45] 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
[46] SKEW GROUP-RINGS, REPRESENTATIONS OF GROUP-ALGEBRAS AND APPLICATIONS TO FIXED RINGS
CASTELLA, D
ARCHIV DER MATHEMATIK, 1995, 65 (04) : 289 - 299
[47] Noetherian Leavitt Path Algebras and Their Regular Algebras
Gonzalo Aranda Pino
Lia Vaš
Mediterranean Journal of Mathematics, 2013, 10 : 1633 - 1656
[48] Group gradations on Leavitt path algebras (vol 19, 2050165, 2020)
Lundstrom, Patrik
Oinert, Johan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (06)
[49] The graded structure of Leavitt path algebras
R. Hazrat
Israel Journal of Mathematics, 2013, 195 : 833 - 895
[50] Leavitt path algebras of quantum quivers
Graham, Joshua
Goswami, Rishabh
Palin, Jason
ARCHIV DER MATHEMATIK, 2025, 124 (01) : 29 - 48

← 1 2 3 4 5 →