Title: Prime spectrum and primitive Leavitt path algebras

Authors: G. Aranda Pino, E. Pardo and M. Siles Molina

Issue: Volume 58 (2009), Issue 2, 869-890

Abstract: In this paper a bijection between the set of prime ideals of a Leavitt path algebra $L_K(E)$ and a certain set which involves maximal tails in $E$ and the prime spectrum of $K[x,x^{-1}]$ is established. Necessary and sufficient conditions on the graph $E$ so that the Leavitt path algebra $L_K(E)$ is primitive are also found.