Proves independence of locally analytic vectors from G and G_b actions in dual infinite-level local Shimura varieties and deduces commutation properties for the p-adic Jacquet-Langlands functor plus isomorphism of de Rham cohomologies.
6- F unctor F ormalisms and S mooth R epresentations, 2024
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A Jacquet-Langlands functor for $p$-adic locally analytic representations
Proves independence of locally analytic vectors from G and G_b actions in dual infinite-level local Shimura varieties and deduces commutation properties for the p-adic Jacquet-Langlands functor plus isomorphism of de Rham cohomologies.