Free Group Representations from Vector-Valued Multiplicative Functions, II

Autor: Kuhn, M. Gabriella, Saliani, Sandra, Steger, Tim
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: Let $\Gamma$ 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 $\Gamma$ and proved them irreducible as representation of $\Gamma\ltimes_\lambda C(\Omega)$. In this paper we analyze multiplicative representations as representations of $\Gamma$ and we prove a criterium for irreducibility based on the growth of their matrix coefficients.
Databáze: arXiv