41 citations · 80 across the 5 of their papers we have counts for
6 papers · 1 filter
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^…
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…
Actions of associated to higher rnak graphs
Alex Kumjian, David Pask
An action of is associated to a higher rank graph satisfying a mild assumption. This generalises the construction of a topological Markov shift arising from a n…
Higher rank graph C*-algebras
Alex Kumjian, David Pask
Building on recent work of Robertson and Steger, we associate a C*-algebra to a combinatorial object which may be thought of as a higher rank graph. This C*-algebra is shown to be…