Abstract
It is well-known that any symmetric space X of non-compact type can be realized as the space So of maximal compact subgroups by associating with g · o its isotropy subgroup gKg-1. The space S of closed subgroups of G is compact in the topology of Hausdorff convergence on the compact subsets of G. As a result, the closure \(\overline {{S_0}} \) is a compactification of X.
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© 1998 Birkhäuser Boston
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Guivarc’h, Y., Ji, L., Taylor, J.C. (1998). An Intrinsic Approach To The Boundaries of X. In: Compactification of Symmetric Spaces. Progress in Mathematics, vol 156. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2452-5_9
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DOI: https://doi.org/10.1007/978-1-4612-2452-5_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7542-8
Online ISBN: 978-1-4612-2452-5
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