Theorem 2.1 . [04YC]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Theorem 2.1.

Let $\Gamma\backslash D$ be a locally Hermitian symmetric space. Consider its toroidal compactification and the associated (generalised) Morgan-Shalen compactification $\overline{\Gamma\backslash D}^{\rm MSBJ}$ . Then this is homeomorphic to the Satake compactification $\overline{(\Gamma\backslash D)}^{\rm Sat,\tau_{\rm ad}}$ for the adjoint representation $\tau_{\rm ad}$ of $G$ .