11 citations · 28 across the 6 of their papers we have counts for
5 papers · 1 filter
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…