Simplicity of $C^{\ast }$-algebras of contracting self-similar groups

Eusebio Gardella, Volodymyr Nekrashevych, Benjamin Steinberg +1

We show that the $C^{\ast }$-algebra associated by Nekrashevych to a contracting self-similar group is simple if and only if the corresponding complex $\ast$-algebra is simple. We also i…