On Labeled Graph $C^*$-algebras

Debendra P Banjade; Menassie Ephrem

On Labeled Graph $C^*$-algebras

Operator Algebras 2020-01-14 v1

Authors: Debendra P Banjade , Menassie Ephrem

Abstract

Given a directed graph $E$ and a labeling $\mathcal{L}$ , one forms the labeled graph $C^*$ -algebra by taking a weakly left--resolving labeled space $(E, \mathcal{L}, \mathcal{B})$ 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 $C^*(E, \mathcal{L}, \mathcal{B})$ when $E$ is a finite graph.

Keywords

c*-algebras graph algebras c*-algebra

Cite

@article{arxiv.2001.04038,
  title  = {On Labeled Graph $C^*$-algebras},
  author = {Debendra P Banjade and Menassie Ephrem},
  journal= {arXiv preprint arXiv:2001.04038},
  year   = {2020}
}

Comments

The Rocky Mountain Journal of Mathematics, to appear. arXiv admin note: text overlap with arXiv:1907.06164

On Labeled Graph $C^*$-algebras

Abstract

Keywords

Cite

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