On Labeled Graph C^*-algebras

2020/01/13 by Banjade, Debendra P, Ephrem, Menassie
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2001.04038

Abstract

Given a directed graph E and a labeling L, one forms the labeled graph C^*-algebra by taking a weakly left--resolving labeled space (E, L, B) and considering a universal generating family of partial isometries and projections. In this paper, we work on ideals for a labeled graph C^*-algebra when the graph contains sinks. Using some of the tools we build, we compute C^*(E, L, B) when E is a finite graph.

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