Work

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

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2402.18585

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

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Junta de Andalucía

Awards: G1321705011, G1570240941

OpenAlex ID: W4392575224

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