Self-simulable groups
Sebastián Barbieri Lemp
Universidad de Santiago de Chile
http://www.sbarbieri.usach.cl/
Date(s) : 16/04/2021 iCal
14h00 - 15h00
We say that a finitely generated group is self-simulable if every action on a zero-dimensional space which is effectively closed (this means it is « computable » in a specific way) is the topological factor of a subshift of finite type on said group. Even though this seems like a property which is very hard to satisfy, we will show that these groups do exist and satisfy nice stability properties. We shall present several examples of these groups, including a proof that Thompson’s group F satisfies the property if and only if it is non-amenable. Joint work with Mathieu Sablik and Ville Salo.
https://arxiv.org/abs/2104.05141
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