11 citations · 28 across the 6 of their papers we have counts for
7 papers
Cartan subalgebras in self-similar graph -algebras
Dawn Archey, Anna Duwenig, Shanshan Hua +3
For a self-similar graph , we find a distinguished subgroupoid of the associated path groupoid -- the symmetric cycline subgroupoid $\mathcal{S}_{\text{…
A New Geometric Morita Invariant for Higher Rank Graph -algebras
Mackenzie Amann, Liam Gallagher, Rachael Norton +1
Higher rank graphs, also known as -graphs, are a -dimensional generalization of directed graphs and a rich source of examples of -algebras. In the present paper, we cont…
Analyzing the Weyl construction for dynamical Cartan subalgebras
A. Duwenig, E. Gillaspy, R. Norton
When the reduced twisted -algebra of a non-principal groupoid admits a Cartan subalgebra, Renault's work on Cartan subalgebras implies th…
Cartan subalgebras for non-principal twisted groupoid -algebras
Anna Duwenig, Elizabeth Gillaspy, Rachael Norton +2
Renault proved in 2008 that if is a topologically principal groupoid, then is a Cartan subalgebra in for any twist over . However, there are…
Comparing Two Generalized Noncommutative Nevanlinna-Pick Theorems
Rachael M. Norton
We explore the relationship between two noncommutative generalizations of the classical Nevanlinna-Pick theorem: one proved by Constantinescu and Johnson in 2003 and the other prov…
On quantum perfect state transfer in weighted join graphs
R. J. Angeles-Canul, R. Norton, M. Opperman +3
We study perfect state transfer on quantum networks represented by weighted graphs. Our focus is on graphs constructed from the join and related graph operators. Some specific resu…
Perfect state transfer, integral circulants and join of graphs
R. J. Angeles-Canul, R. Norton, M. Opperman +3
We propose new families of graphs which exhibit quantum perfect state transfer. Our constructions are based on the join operator on graphs, its circulant generalizations, and the C…