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arXiv · 1512.02296

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

Danny Crytser
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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.

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Danny Crytser. 2015-12-14. Continous-trace $k$-graph $C^*$-algebras. https://arxiv.org/abs/1512.02296

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