10 citations · 54 across the 25 of their papers we have counts for
31 papers
Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms
Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy +1
Spectral sequences are a key tool for computing the K-theory of a crossed product C-algebra. However, the impact of a group homomorphism on such a spectral se…
Relating insplittings of 2-graphs and of textile systems
Samantha Brooker, Priyanga Ganesan, Elizabeth Gillaspy +3
The graphical operation of insplitting is key to understanding conjugacy of shifts of finite type (SFTs) in both one and two dimensions. In this paper, we consider two approaches t…
Products, crossed products, and Zappa--Szép products for -graphs
Adlin Abell-Ball, Elizabeth Gillaspy, George Glidden-Handgis +1
We use the lens of Zappa--Szép decomposition to examine the relationship between directed graph products and -graph products. There are many examples of higher-rank graphs, or $…
Nontraditional models of -Cartan pairs
Jonathan H. Brown, Elizabeth Gillaspy
This paper explores the tension between multiple models and rigidity for groupoid -algebras. We begin by identifying -Cartan subalgebras inside twisted groupoid -a…
Williams' Conjecture holds for meteor graphs
L. G. Cordeiro, E. Gillaspy, D. Goncalves +1
A meteor graph is a connected graph with no sources and sinks consisting of two disjoint cycles and the paths connecting these cycles. We prove that two meteor graphs are shift equ…
The Stable Exotic Cuntz Algebras are Higher-Rank Graph Algebras
Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy
For each odd integer , we construct a rank-3 graph with involution whose real C*-algebra is stably isomorphic to the exotic Cuntz a…