Superexpanders from group actions on compact manifolds

DOI10.1007/s10711-018-0371-0OpenAlexW2962975132MaRDI QIDQ2417664

Federico Vigolo, Tim De Laat

Publication date: 12 June 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01399

zbMATH Keywords

Banach spacesspectral gapexpanderscoarse embeddingsproperty (T)coarse equivalencewarped cones

Mathematics Subject Classification ID

Geometric group theory (20F65) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (7)

Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ Rigidity of warped cones and coarse geometry of expanders ⋮ The Baum–Connes conjecture: an extended survey ⋮ Discrete fundamental groups of warped cones and expanders ⋮ Super-expanders and warped cones ⋮ On the structure of asymptotic expanders ⋮ Nonpositive curvature is not coarsely universal

Cites Work

• Unnamed Item
• Unnamed Item
• Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)
• On strong property (T) and fixed point properties for Lie groups
• Averaged projections, angles between groups and strengthening of Banach property (T)
• A reinforcement of property (T)
• Some remarks on invariant means
• On embedding expanders into \(\ell_p\) spaces
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Random walk in random groups.
• Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders
• Rigidity of warped cones and coarse geometry of expanders
• Super-expanders and warped cones
• Nonlinear spectral calculus and super-expanders
• Kazhdan projections, random walks and ergodic theorems
• Expanders and box spaces
• Warped cones and property A
• Some finiteness properties of adele groups over number fields
• A continuum of expanders
• Complex interpolation between Hilbert, Banach and operator spaces
• Strong property (T) for higher-rank simple Lie groups: Figure 1.
• PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
• Quasi-flats and rigidity in higher rank symmetric spaces
• Measure expanding actions, expanders and warped cones
• Warped cones over profinite completions
• Warped cones and spectral gaps
• Strong Banach property (T) for simple algebraic groups of higher rank
• Straightening warped cones
• Riemannian geometry

This page was built for publication: Superexpanders from group actions on compact manifolds