c*-algebras 1higher-rank graphs 1ideal structure 1nuclear dimension 1pure infiniteness 1topological dimension zero 1
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math.OA2026
Nuclear dimension, pure infiniteness and real rank for higher rank graph -algebras
David Pask
The paper investigates higher‑rank graph C*-algebras, giving criteria for pure infiniteness and showing that when such algebras have topological dimension zero they are strongly pu…
math.OA2026
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 algebr…
math.OA2025
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…