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May 13, 2023 at 14:47 comment added Moishe Kohan @YCor: OP's paper provides such examples, e.g. all residually finite hyperbolic groups satisfying property (T) also satisfy (P).
May 12, 2023 at 19:37 comment added YCor Just for context, a group for which this exists with $C=0$ is called a group with the Haagerup property. Do you know an example of a non-Haagerup group with such a kernel?
May 12, 2023 at 19:31 history asked I. Vergara CC BY-SA 4.0