272 citations · 515 across the 52 of their papers we have counts for
45 papers · 1 filter
Nuclear dimension, pure infiniteness and real rank for higher rank graph -algebras
David Pask
We study the structure and regularity of higher rank graph -algebras, with particular emphasis on their nuclear dimension. For a row-finite, locally convex -graph with…
The -algebras of locally finite undirected graphs: A complete description of their K-theory
D. Pask
We study the -algebra of a locally finite undirected (Serre) graph and compute its K-theory. The algebra is defined intrinsically, as the graph-of-groups algebra…
Relating insplittings of 2-graphs and of textile systems
Samantha Brooker, Priyanga Ganesan, Elizabeth Gillaspy +3
The graphical operation of insplitting is key to understanding conjugacy of shifts of finite type (SFTs) in both one and two dimensions. In this paper, we consider two approaches t…
Embeddability of higher-rank graphs in groupoids, and the structure of their C*-algebras
Nathan Brownlowe, Alex Kumjian, David Pask +1
We show that the C*-algebra of a row-finite source-free k-graph is Rieffel-Morita equivalent to a crossed product of an AF algebra by the fundamental group of the k-graph. When the…
Structure theory and stable rank for C*-algebras of finite higher-rank graphs
David Pask, Adam Sierakowski, Aidan Sims
We study the structure and compute the stable rank of C*-algebras of finite higher-rank graphs. We completely determine the stable rank of the C*-algebra when the k-graph either co…
Moves on -graphs preserving Morita equivalence
Caleb Eckhardt, Kit Fieldhouse, Daniel Gent +3
We initiate the program of extending to higher-rank graphs (-graphs) the geometric classification of directed graph -algebras, as completed in the 2016 paper of Eilers, Res…