Given a reductive group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Bruhat–Tits building into the analytic space associated with the group; by composing the embedding with maps to suitable analytic proper spaces, this eventually leads to various compactifications of the building. In the present paper, we give an intrinsic characterization of this embedding.
Dedicated to Gopal Prasad with admiration
"An Intrinsic Characterization of Bruhat–Tits Buildings Inside Analytic Groups." Michigan Math. J. 72 543 - 557, August 2022. https://doi.org/10.1307/mmj/20217220