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.
Cohomologie p -adique de la tour de D rinfeld: le cas de la dimension 1
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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.