S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology
Abstract:
In this note we refine examples by Aka from arithmetic to S-arithmetic groups to show that the vanishing of the i-th ℓ2-Betti number is not a profinite invariant for all i ≥ 2.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2020 |
| Sprache | Englisch |
| Identifikator | ISSN: 1661-7207, 1661-7215 KITopen-ID: 1000126948 |
| Erschienen in | Groups, geometry, and dynamics |
| Verlag | European Mathematical Society |
| Band | 14 |
| Heft | 3 |
| Seiten | 857-869 |
| Schlagwörter | ℓ2-Betti numbers, profinite completion, S-arithmetic groups |
| Nachgewiesen in | Dimensions Scopus Web of Science |
| Relationen in KITopen |