Data di Pubblicazione:
2013
Citazione:
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.
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.
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.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
free group; Gromov hyperbolic group; irreducible unitary representation; boundary realization; cross product; Herz majorization principle
Elenco autori:
Alessandra, Iozzi; Maria Gabriella, Kuhn; Steger, Tim Joshua
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