2 papers
math.OA2025
Simplicity of -algebras of contracting self-similar groups
Eusebio Gardella, Volodymyr Nekrashevych, Benjamin Steinberg +1
We show that the -algebra associated by Nekrashevych to a contracting self-similar group is simple if and only if the corresponding complex -algebra is simple. We also i…
math.GR2024
The homology of completely simple semigroups
Benjamin Steinberg
I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological f…