Showing math.OAShow all
3 papers · 1 filter
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…
math.OA2024
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…