Leírás
Abstract:
A self-similar group acting over an alphabet X consists of automorphisms of the |X|-ary rooted tree such that the self-similar structure of the tree is reflected on the group. Nekrashevych algebras of self-similar groups are natural generalizations of the classical Leavitt algebras. In the talk, we will be investigating when these algebras are simple, using the theory describing the simplicity of tight algebras of inverse semigroups. When the self-similar group is contracting (this includes the most well-known self-similar groups), its Nekrashevych algebra is finitely presented. We give an algorithm which on input the nucleus of the contracting group, outputs all characteristics of fields over which the corresponding Nekrashevych algebra is simple.
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https://zoom.us/j/91415440951?pwd=WVlIeGZBRTZ5YWU3WEJWbEc0OGtMQT09
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