Primitive Ideals of Labelled Graph $C^{\ast }$-algebras

Abstract

Given a directed graph $E$ and a labeling $\mathcal{L}$, one forms the labelled graph $C^{\ast }$-algebra by taking a weakly left--resolving labelled space $(E,\mathcal{L},\mathcal{B})$ and considering a universal generating family of partial isometries and projections. In this paper we provide characterization for primitive ideals of labelled graph $C^{\ast }$-algebras.

Houston Journal of Math. to appear

References in corpus (3)

• A unified approach to Exel-Laca algebras and C*-algebras associated to graphs
• C*-algebras of labelled graphs
• Characterizing Liminal And Type I Graph C*-Algebras