Compactification de Chabauty des espaces symétriques de type non compact
Abstract
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 present in the book of Guivarc'h, Ji and Taylor, we describe the subgroups that appear in the boundary of the compactification.
 Publication:

arXiv eprints
 Pub Date:
 August 2009
 DOI:
 10.48550/arXiv.0908.0208
 arXiv:
 arXiv:0908.0208
 Bibcode:
 2009arXiv0908.0208H
 Keywords:

 Mathematics  Geometric Topology;
 57S05;
 57S20;
 57S25
 EPrint:
 in french, 25 pages