93 citations · 97 across the 3 of their papers we have counts for
3 papers
math.OA2011★ 4 cited
On twisted higher-rank graph C*-algebras
Alex Kumjian, David Pask, Aidan Sims
We define the categorical cohomology of a k-graph Λ and show that the first three terms in this cohomology are isomorphic to the corresponding terms in the cohomology defined in ou…
math.OA2006★ 93 cited
Simplicity of C*-algebras associated to higher-rank graphs
David I. Robertson, Aidan Sims
We prove that if Λis a row-finite k-graph with no sources, then the associated C^*-algebra is simple if and only if Λis cofinal and satisfies Kumjian and Pask's Condition (A). We p…
math.OA2003
The -algebras of finitely aligned higher-rank graphs
Iain Raeburn, Aidan Sims, Trent Yeend
We generalise the theory of Cuntz-Krieger families and graph algebras to the class of finitely aligned -graphs. This class contains in particular all row-finite -graphs. The…