Continous-trace $k$-graph $C^*$-algebras

Danny Crytser

Continous-trace $k$-graph $C^*$-algebras

Operator Algebras 2015-12-15 v2

Authors: Danny Crytser

Abstract

A characterization is given for directed graphs that yield graph $C^*$ -algebras with continuous trace. This is established for row-finite graphs with no sources first using a groupoid approach, and extended to the general case via the Drinen-Tomforde desingularization. Partial results are given to characterize higher-rank graphs that yield $C^*$ -algebras with continuous trace.

Keywords

graph algebras c*-algebras graph theory

Cite

@article{arxiv.1512.02296,
  title  = {Continous-trace $k$-graph $C^*$-algebras},
  author = {Danny Crytser},
  journal= {arXiv preprint arXiv:1512.02296},
  year   = {2015}
}

Comments

14 pages, 2 figures

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