Atlas of Leavitt path algebras of small graphs

Pablo Alberca Bjerregaard; Gonzalo Aranda Pino; Dolores Martin Barquero; Candido Martin Gonzalez; Mercedes Siles Molina

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Atlas of Leavitt path algebras of small graphs

机译：小图的Leavitt路径代数图集

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The aim of this work is the description of the isomorphism classes of all Leavitt path algebras coming from graphs satisfying Condition (Sing) with up to three vertices. In particular, this classification recovers the one achieved by Abrams et al. in the case of graphs whose Leavitt path algebras are purely infinite simple. The description of the isomorphism classes is given in terms of a series of invariants including the K_0 group, the socle, the number of loops with no exits and the number of hereditary and saturated subsets of the graph.

机译：这项工作的目的是描述所有Leavitt路径代数的同构类，这些代数来自满足条件（单）的图（最多具有三个顶点）。特别地，这种分类恢复了Abrams等人实现的分类。对于Leavitt路径代数纯粹是无限简单的图。对同构类的描述是根据一系列不变量来进行的，包括K_0组，鞋底，没有出口的环数以及图形的遗传子集和饱和子集的数量。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第2期|581-611|共31页
作者
Pablo Alberca Bjerregaard; Gonzalo Aranda Pino; Dolores Martin Barquero; Candido Martin Gonzalez; Mercedes Siles Molina;
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作者单位

Departamento de Matematica Aplicada Universidad de Malaga 29071 Malaga, Spain;

Departamento de Algebra Geometria y Topologia Universidad de Malaga 29071 Malaga, Spain;

Departamento de Matematica Aplicada Universidad de Malaga 29071 Malaga, Spain;

Departamento de Algebra Geometria y Topologia Universidad de Malaga 29071 Malaga, Spain;

Departamento de Algebra Geometria y Topologia Universidad de Malaga 29071 Malaga, Spain;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Leavitt path algebra; graph C~*-algebra; classification; atlas; finite order graph;

机译：Leavitt路径代数;图C〜*-代数;分类;地图集有限阶图;

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1. Corners of Leavitt path algebras of finite graphs are Leavitt path algebras [J] . Journal of Algebra . 2020,第期

机译：有限图的Leavitt路径代数的角落是Leavitt路径代数
2. Ideal-related K-theory for Leavitt Path Algebras and Graph C~*-algebras [J] . Efren Ruiz, Mark Tomforde Indiana University Mathematics Journal . 2013,第5期

机译：Leavitt路径代数和图C〜*-代数的与理想有关的K理论
3. AMSI workshop on Graph C~*-algebras, Leavitt path algebras and symbolic dynamics [J] . R. Hazrat, A. Sims Gazette: the australian mathematical society . 2013,第4期

机译：关于图C〜*-代数，Leavitt路径代数和符号动力学的AMSI研讨会
4. The u-Projective Resolution of Simple Modules over Leavitt Path Algebras [C] . Delsi Kariman, Irawati, Intan Muchtadi-Alamsyah International Conference on Mathmatics and Its Applications . 2019

机译：Leavitt路径代数的简单模块的U-Projective分辨率
5. Morita Equivalence of Graph and Ultragraph Leavitt Path Algebras [D] . Firrisa, Michael Mekonen. 2020

机译：Morita等值图和ultragraphavitt路径代数
6. Structure of Leavitt path algebras of polynomial growth [O] . Adel Alahmedi, Hamed Alsulami, Surender Jain, 2013

机译：多项式增长的Leavitt路径代数的结构
7. Corners of Leavitt path algebras of finite graphs are Leavitt path algebras [O] . Gene Abrams, Tran Giang Nam 2020

机译：有限图的Leavitt路径代数的角落是Leavitt路径代数

Atlas of Leavitt path algebras of small graphs

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