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2018 Continuous-trace $k$-graph $C^*$-algebras
Danny Crytser
Rocky Mountain J. Math. 48(5): 1511-1535 (2018). DOI: 10.1216/RMJ-2018-48-5-1511

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. A characterization of continuous-trace AF $C^*$-algebras is obtained. Partial results are given to characterize higher-rank graphs that yield $C^*$-algebras with continuous trace.

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Danny Crytser. "Continuous-trace $k$-graph $C^*$-algebras." Rocky Mountain J. Math. 48 (5) 1511 - 1535, 2018. https://doi.org/10.1216/RMJ-2018-48-5-1511

Information

Published: 2018
First available in Project Euclid: 19 October 2018

zbMATH: 06958790
MathSciNet: MR3866557
Digital Object Identifier: 10.1216/RMJ-2018-48-5-1511

Subjects:
Primary: 46L55

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 5 • 2018
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