A new family of representatiosnof virtually free groups

2011/12/20 by Alessandra Iozzi, Iozzi, Alessandra, M. Gabriella Kuhn +3 · 1 citation
Mathematics · #15A48 #22D10 #22E40 #22E45 #43A65 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:15A48 #msc:22D10 #msc:22E40 #msc:22E45 #msc:43A65

paper · pdf · doi:10.48550/arxiv.1112.4709

arxiv created 2011/12/20 · arxiv updated 2011/12/21

Abstract

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.

Cited by

• Stability properties of multiplicative representations of free groups

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