works on
c*-algebras 1higher-rank graphs 1ideal structure 1nuclear dimension 1pure infiniteness 1topological dimension zero 1

From the 1 of 7 linked papers with an AI index.

collaborators

7 papers

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.GT2026

Full Mealy automata, complete square complexes, and anti-tori

David Pask

To a full Mealy automaton we associate a bijection , a one-vertex rank-two graph , and a one-vertex -square complex tiled by Wang til…

math.CT2026

Planar higher-rank trees have rank at most four

David Pask

We prove that a finite, connected, singly connected, locally convex higher-rank tree whose -skeleton is planar and which is \emph{non-degenerate}, in the sense that every edge o…

math.CO2026

Higher-rank trees arising from polyhedral graphs

David Pask

We introduce a new family of higher-rank graphs, whose construction was inspired by the graphical techniques of Lambek \cite{Lambek} and Johnstone \cite{Johnstone} used for monoid…

math.KT2026

Higher-rank graphs and the graded -theory of Kumjian-Pask algebras

Roozbeh Hazrat, Promit Mukherjee, David Pask +1

This paper lays out the foundations of graded -theory for Leavitt algebras associated with higher-rank graphs, also known as Kumjian-Pask algebras, establishing it as a potentia…