47 citations · 114 across the 6 of their papers we have counts for
6 papers
Uniqueness theorems for topological higher-rank graph C*-algebras
Jean N. Renault, Aidan Sims, Dana P. Williams +1
We consider the boundary-path groupoids of topological higher-rank graphs. We show that the all such groupoids are topologically amenable. We deduce that the C*-algebras of topolog…
C*-algebras associated to product systems of Hilbert bimodules
Aidan Sims, Trent Yeend
Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. Under mild hypotheses we associate to X a C*-algebra which w…
Groupoid models for the C*-algebras of topological higher-rank graphs
Trent Yeend
We provide groupoid models for Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs. Extending the groupoid models used in the theory of graph algebras and topolog…
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…
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…
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…