2 papers
math.OA2025
Tubular partitions and representations of the quantum automorphism group of a homogeneous rooted tree
Nathan Brownlowe, David Robertson
We introduce the rigid tensor category of tubular partitions, and use it to provide a combinatorial model for the representation category of the quantum automorphism group of a hom…
math.OA2024
C*-algebras of self-similar actions of groupoids on higher-rank graphs and their equilibrium states
Zahra Afsar, Nathan Brownlowe, Jacqui Ramagge +1
We introduce the notion of a self-similar action of a groupoid on a finite higher-rank graph. To these actions we associate a compactly aligned product system of Hilbert bimodu…