A new family of representatiosnof virtually free groups

Details A new family of representatiosnof virtually free groups A new family of representatiosnof virtually free groups

2011-12-20

arxiv.org/abs/1112.4709v1

Mathematics

Representation Theory

Scientific paper

We construct a new family of irreducible unitary representations of a finitely generated virtually free group L. We prove furthermore a general result concerning representations of Gromov hyperbolic groups that are weakly contained in the regular representation, thus implying that all the representations in this family can be realized on the boundary of L. As a corollary, we obtain an analogue of Herz majorization principle.

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