RT Journal Article
T1 The algebraic entropies of the Leavitt path algebra and the graph algebra agree.
A1 Martín-Barquero, Dolores
A1 Bock, Wolfgang
A1 Ruiz Campos, Iván
A1 Gil-Canto, Cristóbal
A1 Martín-González, Cándido
A1 Sebandal, Alfilgen
K1 Entropía
K1 Álgebra abstracta
K1 Teoría de grafos
AB 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.
PB Springer Nature
YR 2024
FD 2024-10-24
LK https://hdl.handle.net/10630/38173
UL https://hdl.handle.net/10630/38173
LA eng
NO 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).
NO PID2023-152673NB-I00FQM-336
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026