Abstract
In [5], Fox, Gromov, Lafforgue, Naor and Pach, in a response to a question of Gromov [7], constructed bounded degree geometric expanders, namely, simplical complexes having the affine overlapping property. Their explicit constructions are finite quotients of A d-buildings, for d ≥ 2, over local fields. In this paper, this result is extended to general high rank Bruhat-Tits buildings.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 51-66 |
| Number of pages | 16 |
| Journal | Journal of Topology and Analysis |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2017 |
All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
Keywords
- Bruhat-Tits buildings
- Hecke operators
- High-dimensional expanders
- geometric expanders
- overlapping property
- property (T)