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We show that a large family of groups without non-abelian free subgroups satisfy the following strengthening of nonamenability: they each have a rich supply of irreducible representations defining exotic C* -algebras. The construction is explicit. (c) 2024 ...
We consider groups of piecewise-projective homeomorphisms of the line which are known to be non-amenable using notably the Carrière–Ghys theorem on ergodic equivalence relations. Replacing that theorem by an explicit fixed-point argument, we can strengthen ...
