The Dixmier-Moeglin equivalence for Leavitt path algebras

Gene Abrams, Jason P. Bell, Kulumani M. Rangaswamy

Let $K$ be a field, let $E$ be a finite directed graph, and let $L_K(E)$ be the Leavitt path algebra of $E$ over $K$. We show that for a prime ideal $P$ in $L_K(E)$, the following…