Simplicity of Nekrashevych algebras of contracting self-similar groups
Nora Szakacs (University of Manchester)
Thursday 24th November, 2022 16:00-17:00 Maths 311B
In this talk we discuss a result of the speaker and Benjamin Steinberg characterizing simplicity of Nekrashevych algebras of contracting groups. In particular, we give an algorithm for deciding simplicity given an automaton generating the group. We apply our results to several families of contracting groups like GGS groups and Sunic's generalizations of Grigorchuk's group associated to polynomials over finite fields.