Prime spectrum and primitive Leavitt path algebras

G. Aranda-Pino; E. Pardo; M. Siles-Molina

Prime spectrum and primitive Leavitt path algebras

Rings and Algebras 2007-12-14 v1

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

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.

Keywords

leavitt path algebras

Cite

@article{arxiv.0712.2102,
  title  = {Prime spectrum and primitive Leavitt path algebras},
  author = {G. Aranda-Pino and E. Pardo and M. Siles-Molina},
  journal= {arXiv preprint arXiv:0712.2102},
  year   = {2007}
}

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