Given an adjoint semisimple group G over a local field k, we prove that the maximal Satake–Berkovich compactification of the Bruhat–Tits building of G can be identified with the one obtained by embedding the building into the Berkovich analytification of the wonderful compactification of G, extending previous results of Rémy, Thuillier and Werner. In the process, we use the characterisation of the wonderful compactification in terms of Hilbert schemes given by Brion to extend the definition of the wonderful compactification to the case of a non-necessarily split adjoint semisimple group over an arbitrary field and investigate some of its properties pertaining to rational points on the boundary.

Lastly, given a finite possibly ramified Galois extension k’/k, we take a look at the action of the Galois group on the maximal compactification of the building of G over k’ and check that the Galois-fixed points are precisely the limits of sequences of fixed points in the building over k’, though they may not lie in the Satake–Berkovich compactification of G over k.

给定局部域k上的伴随半单群G ，我们证明G的 Bruhat-Tits 构造的最大 Satake-Berkovich 紧化可以与通过将该构造嵌入到G的奇妙紧化的 Berkovich 分析中获得的结果来识别，扩展了 Rémy、Thuillier 和 Werner 之前的结果。在此过程中，我们利用Brion给出的Hilbert格式对奇妙紧化的刻画，将奇妙紧化的定义扩展到任意域上非必然分裂伴随半单群的情况，并研究了它的一些性质与边界上的有理点有关。

最后，给定一个有限的可能分支的伽罗瓦扩展k '/k，我们看看伽罗瓦群对G在k ' 上的构造的最大紧化的作用，并检查伽罗瓦不动点恰好是k '上的建筑物中的不动点序列，尽管它们可能不位于G在k上的 Satake-Berkovich 紧化中。