Functions conditionally of negative type on groups acting on regular trees
نویسنده
چکیده
Let Tq+1 be the q + 1-regular tree and let G be a group of autormophisms acting transitively on the vertices and on the boundary of Tq+1. We give an upper bound for the growth of cocycles with values in any unitary representation of the group G. This bound is optimal by projecting the Haagerup cocycle onto the subspace of the kernel of the divergence. We also obtain a description of functions conditionally of negative type which are unbounded.
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