We construct a new family of irreducible unitary representations of a finitely generated virtually free group $\Lambda$. 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 $\Lambda$. As a corollary, we obtain an analogue of Herz majorization principle.
A new family of representations of virtually free groups / Alessandra, Iozzi; Maria Gabriella, Kuhn; Steger, Tim Joshua. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 274:(2013), pp. 167-184.
A new family of representations of virtually free groups
STEGER, Tim Joshua
2013-01-01
Abstract
We construct a new family of irreducible unitary representations of a finitely generated virtually free group $\Lambda$. 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 $\Lambda$. As a corollary, we obtain an analogue of Herz majorization principle.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
