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- Title
A new family of representations of virtually free groups.
- Authors
Iozzi, Alessandra; Kuhn, M.; Steger, Tim
- Abstract
We construct a new family of irreducible unitary representations of a finitely generated virtually free group Λ. 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 Λ. As a corollary, we obtain an analogue of Herz majorization principle.
- Subjects
FREE groups; HYPERBOLIC geometry; HYPERBOLIC functions; BOUNDARY value problems; GROUP theory
- Publication
Mathematische Zeitschrift, 2013, Vol 274, Issue 1/2, p167
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-012-1062-4