Geometric property (T)

DOI10.1007/S11401-014-0852-XzbMath1362.46073arXiv1311.6197OpenAlexW2050712999MaRDI QIDQ2257072

Rufus Willett, Guo-Liang Yu

Publication date: 23 February 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6197

zbMATH Keywords

coarse geometryexpanderproperty (T)Roe algebra

Mathematics Subject Classification ID

Geometric group theory (20F65) Noncommutative topology (46L85) Distance in graphs (05C12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (9)

Expanders and box spaces ⋮ From the geometry of box spaces to the geometry and measured couplings of groups ⋮ Topological property (T) for groupoids ⋮ Coarse geometry of Hecke pairs and the Baum-Connes conjecture ⋮ Sofic boundaries of groups and coarse geometry of sofic approximations ⋮ Geometric property (T) for non-discrete spaces ⋮ The maximal injective crossed product ⋮ Random graphs, weak coarse embeddings, and higher index theory ⋮ Group approximation in Cayley topology and coarse geometry. III: Geometric property (T)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture
• Higher index theory for certain expanders and Gromov monster groups. I
• Higher index theory for certain expanders and Gromov monster groups. II
• Minimal projections, integrable representations and property (T)
• K-theory for the maximal Roe algebra of certain expanders
• The Baum-Connes conjecture for amenable foliations
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• Property (T) and Kazhdan constants for discrete groups
• The coarse Baum-Connes conjecture and groupoids
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Spaces of graphs, boundary groupoids and the coarse Baum-Connes conjecture
• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
• Geometrization of the Strong Novikov Conjecture for residually finite groups
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• Property A, partial translation structures, and uniform embeddings in groups

This page was built for publication: Geometric property (T)