Work

The Algebraic Entropies of the Leavitt Path Algebra and the Graph Algebra Agree

Year: 2024

Type: article

Abstract: In this note we prove that the algebras $$L_K(E)$$ L K ( E ) and KE have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The main argument leans on (1) the holomorphic functional calculus; (2) the relation of entropy with suitable norm of the adjacency matrix; and (3) the Cohn path algebras which yield suitable bounds for the algebraic entropies.

Source: Results in Mathematics

DOI: 10.1007/s00025-024-02289-y

Authors: Dolores Martín Barquero, Wolfgang Bock, Iván Ruiz Campos, Cristóbal Gil Canto, Cándido Martín González, Alfilgen Sebandal

Institutions: Universidad de Málaga, Linnaeus University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Ministerio de Ciencia e Innovación