Monoids, dynamics and Leavitt path algebras

Gene Abrams; Roozbeh Hazrat

doi:10.1016/j.exmath.2025.125684

Monoids, dynamics and Leavitt path algebras

Gene Abrams, Roozbeh Hazrat

School of Computer, Data & Mathematical Sciences

University of Colorado Colorado Springs

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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.

Original language	English
Article number	125684
Number of pages	17
Journal	Expositiones Mathematicae
Volume	43
Issue number	5
DOIs	https://doi.org/10.1016/j.exmath.2025.125684
Publication status	Published - Sept 2025

Keywords

Abelian sandpile model
C-algebra
Leavitt path algebra
Sandpile monoid
Symbolic dynamics

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Monoids, dynamics and Leavitt path algebras

Abstract

Keywords

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