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Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach

Cynthia Farthing·Paul S. Muhly·Trent Yeend
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Abstract

We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

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Cynthia Farthing, Paul S. Muhly, Trent Yeend. 2006-03-22. Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach. https://arxiv.org/abs/math/0409505

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