The algebraic entropies of the Leavitt path algebra and the graph algebra agree.

Thumbnail Image

Files

Paper publicado EntropyAgree.pdf (291.46 KB)

Identifiers

URI: https://hdl.handle.net/10630/38173
DOI: 10.1007/s00025-024-02289-y

Publication date

2024-10-24

Reading date

Authors

Collaborators

Advisors

Tutors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Nature

Metrics

Google Scholar

Share

Export

Research Projects

Organizational Units

Journal Issue

Center

Department/Institute

Matemática Aplicada

Keywords

Entropía
Álgebra abstracta
Teoría de grafos

Abstract

In this note we prove that the algebras 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.

Description

Bibliographic citation

Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González, Iván Ruiz Campos y Alfilgen Sebandal. The algebraic entropies of the Leavitt path algebra and the graph algebra agree. Results in Mathematics, 79:266 (2024).

Collections

Artículos

Endorsement

Review

Supplemented By

Referenced by

Creative Commons license

Attribution 4.0 Internacional
Except where otherwised noted, this item's license is described as Attribution 4.0 Internacional