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