This research finds amenable actions on stably finite simple C∗-algebras by any countable group, suggesting new connections in mathematical structures.
We give the first examples of (non-amenable group) amenable actions on stably finite simple C^-algebras. More precisely, we give such actions for any countable group in an explicit way. The main ingredients of our construction are the full Fock space of the regular representation and a trace-scaling automorphism.
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Yuhei Suzuki (2026) studied this question.