The algebraic entropies of the Leavitt path algebra and the graph algebras agree
arxiv(2024)
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.
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