Monoids, dynamics and Leavitt path algebras

IF 0.8 4区 数学 Q2 MATHEMATICS
Gene Abrams , Roozbeh Hazrat
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引用次数: 0

Abstract

Leavitt path algebras, which are algebras associated to directed graphs, were first introduced about 20 years ago. They have strong connections to such topics as symbolic dynamics, operator algebras, non-commutative geometry, representation theory, and even chip firing. In this article we invite the reader to sneak a peek at these fascinating algebras and their interplay with several seemingly disparate parts of mathematics.
一元群,动力学与Leavitt路径代数
莱维特路径代数是一种与有向图相关的代数,最早是在20年前提出的。它们与符号动力学、算子代数、非交换几何、表示理论甚至芯片发射等主题有很强的联系。在这篇文章中,我们邀请读者偷看一下这些迷人的代数,以及它们与几个看似不相干的数学部分的相互作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
41
审稿时长
40 days
期刊介绍: Our aim is to publish papers of interest to a wide mathematical audience. Our main interest is in expository articles that make high-level research results more widely accessible. In general, material submitted should be at least at the graduate level.Main articles must be written in such a way that a graduate-level research student interested in the topic of the paper can read them profitably. When the topic is quite specialized, or the main focus is a narrow research result, the paper is probably not appropriate for this journal. Most original research articles are not suitable for this journal, unless they have particularly broad appeal.Mathematical notes can be more focused than main articles. These should not simply be short research articles, but should address a mathematical question with reasonably broad appeal. Elementary solutions of elementary problems are typically not appropriate. Neither are overly technical papers, which should best be submitted to a specialized research journal.Clarity of exposition, accuracy of details and the relevance and interest of the subject matter will be the decisive factors in our acceptance of an article for publication. Submitted papers are subject to a quick overview before entering into a more detailed review process. All published papers have been refereed.
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