Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs

Trent Yeend

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arXiv · math/0509445

Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs

Trent Yeend

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Abstract

We introduce the notion of a topological higher-rank graph, a unified generalization of the higher-rank graph and the topological graph. Using groupoid techniques, we define the Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs, and show that the $C^*$-algebras defined are coherent with the existing theory.

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BibTeX RIS

Trent Yeend. 2005-11-04. Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs. https://arxiv.org/abs/math/0509445

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