2 citations · 4 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
Group actions on multitrees and the -theory of their crossed products
Nathan Brownlowe, Jack Spielberg, Anne Thomas +1
We study group actions on multitrees, which are directed graphs in which there is at most one directed path between any two vertices. In our main result we describe a six-term exac…
Self-similar quantum groups
Nathan Brownlowe, David Robertson
We introduce the notion of self-similarity for compact quantum groups. For a finite set , we introduce a -algebra , which is the quantum automorphism group of…
The Toeplitz noncommutative solenoid and its KMS states
Nathan Brownlowe, Mitchell Hawkins, Aidan Sims
We use Katsura's topological graphs to define Toeplitz extensions of Latrémolière and Packer's noncommutative-solenoid C*-algebras. We identify a natural dynamics on each Toeplitz…
Crossed products and twisted -graph algebras
Nathan Brownlowe, Valentin Deaconu, Alex Kumjian +1
An automorphism of a -graph induces a crossed product which is isomorphic to a -graph algebra . In this…
Two families of Exel-Larsen crossed products
Nathan Brownlowe, Iain Raeburn
Larsen has recently extended Exel's construction of crossed products from single endomorphisms to abelian semigroups of endomorphisms, and here we study two families of her crossed…