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arXiv · 1801.08719

On Uniform Admissibility of Unitary and Smooth Representations

Uriya A. First·Thomas Rüd
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Abstract

Let $G$ be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of $G$ are uniformly admissible if and only if the irreducible smooth representations of $G$ are uniformly admissible. We also show that the latter property is inherited by finite-index subgroups and overgroups of $G$.

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Uriya A. First, Thomas Rüd. 2018-01-26. On Uniform Admissibility of Unitary and Smooth Representations. https://doi.org/10.1007/s00013-018-1257-y

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