Abstract
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that ℝ-rank(S) ≥ 2 and let Γ be a uniform lattice in G. (a) If CH holds, then Γ has a unique asymptotic cone up to homeomorphism. (b) If CH fails, then Γ has 22ω asymptoticones up to homeomorphism.
Original language | English |
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Pages (from-to) | 142-173 |
Number of pages | 32 |
Journal | Advances in Mathematics |
Volume | 193 |
Issue number | 1 |
DOIs | |
State | Published - 1 May 2005 |
Keywords
- Affine buildings
- Asymptotic cone
- Finitely presented groups