76 citations · 782 across the 86 of their papers we have counts for
7 papers · 1 filter
KMS states on -algebras associated to higher-rank graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
Consider a higher-rank graph of rank k. Both the Cuntz-Krieger algebra and the Toeplitz-Cuntz-Krieger algebra of the graph carry natural gauge actions of the torus T^k, and restric…
On the K-theory of twisted higher-rank-graph C*-algebras
Alex Kumjian, David Pask, Aidan Sims
We investigate the K-theory of twisted higher-rank-graph algebras by adapting parts of Elliott's computation of the K-theory of the rotation algebras. We show that each 2-cocycle o…
An elementary approach to C*-algebras associated to topological graphs
Hui Li, David Pask, Aidan Sims
We develop notions of a representation of a topological graph E and of a covariant representation of a topological graph E which do not require the machinery of C*-correspondences…
Topological realizations and fundamental groups of higher-rank graphs
S. Kaliszewski, Alex Kumjian, John Quigg +1
We investigate topological realizations of higher-rank graphs. We show that the fundamental group of a higher-rank graph coincides with the fundamental group of its topological rea…
KMS states on the C*-algebras of finite graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value β…
Simplicity of algebras associated to étale groupoids
Jonathan H. Brown, Lisa Orloff Clark, Cynthia Farthing +1
We prove that the C*-algebra of a second-countable, étale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G ha…