The algebraic entropies of the Leavitt path algebra and the graph algebra agree.
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Fecha
2024-10-24 -
Editorial/Editor
Springer Nature -
Palabras clave
Entropía; Álgebra abstracta; Teoría de grafos -
Resumen
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. -