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arXiv · 1204.1514

The regular and profinite representations of residually finite groups

Jean-François Planchat
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Abstract

Let $G$ be a residually finite group. To any decreasing sequence $\mathcal S = (H_n)_n $ of finite index subgroups of $G$ is associated a unitary representation $ρ_{\mathcal S}$ of $G$ in the Hilbert space $\bigoplus_{n=0}^{+\infty} \ell^2 (G/H_n) $. This paper investigates the following question: when does the representation $ρ_{\mathcal S} $ weakly contain the regular representation $λ$ of $G$?

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Jean-François Planchat. 2013-03-24. The regular and profinite representations of residually finite groups. https://arxiv.org/abs/1204.1514

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