Multivariable $(\ddot{I}{†}_q,{\mathcal{O}}_K^{\times })$-modules associated to $p$-adic representations of $\mathrm{Gal}(\overline{K}/K)$

Changjiang Du

Let $K$ be an unramified extension of ${\mathbb{Q}}_p$, and $E$ a finite extension of $K$ with ring of integers ${\mathcal{O}}_E$. We associate to every finite type continuous $\mathca…