Let Γ be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of Γ and proved them irreducible as representation of Γ ⋉ λC(Ω). In this paper we analyze multiplicative representations as representations of Γ and we prove a criterium for irreducibility based on the growth of their matrix coefficients.
Kuhn, M., Saliani, S., Steger, T. (2016). Free group representations from vector-valued multiplicative functions, II. MATHEMATISCHE ZEITSCHRIFT, 284(3-4), 1137-1162 [10.1007/s00209-016-1692-z].
Free group representations from vector-valued multiplicative functions, II
Kuhn, MG
;
2016
Abstract
Let Γ be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of Γ and proved them irreducible as representation of Γ ⋉ λC(Ω). In this paper we analyze multiplicative representations as representations of Γ and we prove a criterium for irreducibility based on the growth of their matrix coefficients.
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