Work

Monoids, dynamics and Leavitt path algebras

Year: 2025

Type: article

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.

Source: Expositiones Mathematicae

DOI: 10.1016/j.exmath.2025.125684

Authors: Gene Abrams, Roozbeh Hazrat

Institutions: University of Colorado Colorado Springs, Western Sydney University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funders: Mathematisches Forschungsinstitut Oberwolfach, Australian Research Council