Continous-trace $k$-graph $C^{\ast }$-algebras

Abstract

A characterization is given for directed graphs that yield graph $C^{\ast }$-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 $C^{\ast }$-algebras with continuous trace.

14 pages, 2 figures

References in corpus (1)

• Categorising the operator algebras of groupoids and higher-rank graphs