Primitive Ideals of Labelled Graph $C^*$-algebras

14 Jul 2019  ·  Ephrem Menassie ·

Given a directed graph $E$ and a labeling $\mathcal{L}$, one forms the labelled graph $C^*$-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 $C^*$-algebras...

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Operator Algebras Functional Analysis