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

Menassie Ephrem

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

Operator Algebras 2019-07-16 v1 Functional Analysis

Authors: Menassie Ephrem

Abstract

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.

Keywords

labelled graph c*-algebras primitive ideals directed graphs partial isometries weakly left-resolving labelled spaces

Cite

@article{arxiv.1907.06164,
  title  = {Primitive Ideals of Labelled Graph $C^*$-algebras},
  author = {Menassie Ephrem},
  journal= {arXiv preprint arXiv:1907.06164},
  year   = {2019}
}

Comments

Houston Journal of Math. to appear

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