2 papers
math.RA2026
On the simplicity of Katsura algebras
Josiah Aakre, Nóra Szakács
We give a complete characterization of the (purely infinite) simplicity of Katsura algebras and the associated Steinberg algebras. This is achieved by characterizing when the singu…
math.RA2025
Simplicity of algebras and -algebras of self-similar groupoids
Josiah Aakre
Many previously studied path algebras or self-similar group algebras may be viewed as Steinberg algebras of self-similar groupoids. By way of inverse semigroup algebras, we charact…