From the 1 of 4 linked papers with an AI index.
4 papers
Commensurating actions and self-similar groups
Nicolás Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng
The authors classify commensurating actions of finitely generated contracting self‑similar branch groups on CAT(0) cube complexes and use this classification to prove that the iter…
Semigroups, groups, and algebras of dynamical origin
Volodymyr Nekrashevych
The paper is an overview of recent results on algebraic structures (semigroups, groupoids, algebras, inverse semigroups, and groups) associated with objects with a rich set of part…
Liouville property for groups and conformal dimension
Nicolás Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng
Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with an expanding self-covering (e.g. Julia…
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…