Thompson's groups F and T are subgroups of Teichmüller modular groups for generalized Cantor sets with proper discontinuous actions, unlike V, improving earlier work on asymptotic spaces.
Shiga, On the quasiconformal equivalence of Dynamical Cantor sets, J
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Thompson's groups and Teichm\"uller modular groups of generalized Cantor sets
Thompson's groups F and T are subgroups of Teichmüller modular groups for generalized Cantor sets with proper discontinuous actions, unlike V, improving earlier work on asymptotic spaces.