41 citations · 80 across the 5 of their papers we have counts for
8 papers
The Noncommutative Geometry of Graph -Algebras I: The Index Theorem
David Pask, Adam Rennie
We investigate conditions on a graph -algebra for the existence of a faithful semifinite trace. Using such a trace and the natural gauge action of the circle on the graph alge…
C*-algebras of labelled graphs
Teresa Bates, David Pask
We describe a class of -algebras which simultaneously generalise the ultragraph algebras of Tomforde and the shift space -algebras of Matsumoto. In doing so we shed some…
A dual graph construction for higher-rank graphs, and -theory for finite 2-graphs
Stephen Allen, David Pask, Aidan Sims
Given a -graph and an element of $\NN^k$, we define the dual -graph, . We show that when is row-finite and has no sources, the -algebras and $C^…
Fundamental groupoids of k-graphs
David Pask, John Quigg, Iain Raeburn
k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop a theo…
Some intrinsic properties of simple graph -algebras
David Pask, Seung-Jai Rho
To a directed graph is associated a -algebra called a graph -algebra. There is a canonical action of on , called the gauge action. In…
Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces
Klaus Deicke, David Pask, Iain Raeburn
The graph C*-algebra of a directed graph E is the universal C*-algebra generated by a family of partial isometries satisfying relations which reflect the path structure of E. In th…