Geodesic
Compactification de Chabauty des Espaces Sym�triques de Type Non Compact
Journal of Lie theory, Tome 20 (2010) no. 3, pp. 437-468.

Voir la notice de l'article provenant de la source Heldermann Verlag

The space of closed subgroups of a locally compact topological group is endowed with a natural topology, called the Chabauty topology. Let X be a symmetric space of noncompact type, and G be its group of isometries. The space X identifies with the subspace of maximal compact subgroups of G : taking the closure gives rise to the Chabauty compactification of the symmetric space X. Using simpler arguments than those presented by Y. Guivarc'h, L. Ji and J. C. Taylor [Compactifications of symmetric spaces, Progr. Math. 156 (1998)] we describe the subgroups that appear in the boundary of the compactification, and classify the maximal distal and maximal amenable subgroups of G. We also provide a straightforward identification between the Chabauty compactification and the polyhedral compactification.
Classification : 57S05, 57S20, 57S25
Mots-clés : Compactification, Chabauty, symmetric space, space of subgroup 
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     author = {T. Haettel },
     title = {Compactification de {Chabauty} des {Espaces} {Sym�triques} de {Type} {Non} {Compact}},
     journal = {Journal of Lie theory},
     pages = {437--468},
     publisher = {mathdoc},
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     number = {3},
     year = {2010},
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T. Haettel . Compactification de Chabauty des Espaces Sym�triques de Type Non Compact. Journal of Lie theory, Tome 20 (2010) no. 3, pp. 437-468. http://geodesic.mathdoc.fr/item/JLT_2010_20_3_JLT_2010_20_3_a1/