Primitive Ideals of Labelled Graph C^*-algebras

2019/07/14 by Menassie Ephrem, Ephrem, Menassie
Mathematics · #46L05 #46L35 #46L55 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1907.06164

openalex publication_date 2019/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a directed graph E and a labeling L, one forms the labelled graph C^*-algebra by taking a weakly left--resolving labelled space (E, L, 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.

Citations

• Characterizing Liminal And Type I Graph C*-Algebras

Related

• On Labeled Graph C^*-algebras
• The structure of gauge-invariant ideals of labelled graph C^*-algebras
• On simple labelled graph C^*-algebras
• A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras III, ideal structures
• Graph C^∗-algebras with a T₁ primitive ideal space