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20012005
most citedTopological higher-rank graphs and the -algebras of topological 1-graphs

17 citations · 17 across the 2 of their papers we have counts for

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math.OA2005★ 17 cited

Topological higher-rank graphs and the -algebras of topological 1-graphs

Trent Yeend

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 To…

math.OA2004

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

Cynthia Farthing, Paul S. Muhly, Trent Yeend

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 theor…

math.OA2001

Higher-rank graphs and their C*-algebras

Iain Raeburn, Aidan Sims, Trent Yeend

We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz-Krieger algebras. We describe a variant of the Cuntz-Krieger relations which appli…