A note on the admissibility of smooth simple $RG$-modules

Abstract

Let $G$ be a $p$-adic reductive group and $R$ be a noetherian Jacobson $\mathbb{Z}[1/p]$-algebra. In this note, we show that every smooth irreducible $R$-linear representation of $G$ is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over $R$.

arXiv commentdiffers from the accepted version with Z_l replaced by Z[1/p]

References in corpus (1)

• Representations of a reductive $p$-adic group in characteristic distinct from $p$