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math.OA2025
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…
math.OA2025
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 $…