A new family of representations of virtually free groups

作者：Iozzi Alessandra; Kuhn M Gabriella^*; Steger Tim

来源：Mathematische Zeitschrift, 2013, 274(1-2): 167-184.

DOI：10.1007/s00209-012-1062-4

• Free group
• Gromov hyperbolic group
• Irreducible unitary representation
• Boundary realization
• Cross product
• Herz majorization principle

We construct a new family of irreducible unitary representations of a finitely generated virtually free group I %26gt;. 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 I %26gt;. As a corollary, we obtain an analogue of Herz majorization principle.

• 出版日期2013-6