{"title":"Monoids, dynamics and Leavitt path algebras","authors":"Gene Abrams, Roozbeh Hazrat","doi":"arxiv-2409.00289","DOIUrl":null,"url":null,"abstract":"Leavitt path algebras, which are algebras associated to directed graphs, were\nfirst introduced about 20 years ago. They have strong connections to such\ntopics as symbolic dynamics, operator algebras, non-commutative geometry,\nrepresentation theory, and even chip firing. In this article we invite the\nreader to sneak a peek at these fascinating algebras and their interplay with\nseveral seemingly disparate parts of mathematics.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00289","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.