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- W2896534785 abstract "We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely generated with non-trivial cost. Our criterion also applies to torsion groups constructed by D. Osin, thus providing the first examples of non-unitarisable groups not containing a non-Abelian free subgroup." @default.
- W2896534785 created "2018-10-26" @default.
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- W2896534785 date "2008-11-20" @default.
- W2896534785 modified "2023-09-27" @default.
- W2896534785 title "A note on non-unitarisable representations and random forests" @default.
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