Random graphs, weak coarse embeddings, and higher index theory

DOI10.1142/S1793525315500156zbMath1319.05116arXiv1404.6456OpenAlexW2962936005MaRDI QIDQ5262368

Rufus Willett

Publication date: 13 July 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6456

zbMATH Keywords

coarse Baum-Connes conjecturerandom graphhigher index theory

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Index theory (19K56)

Related Items (3)

Sofic boundaries of groups and coarse geometry of sofic approximations ⋮ Warped cones over profinite completions ⋮ Straightening warped cones

Cites Work

• Higher index theory for certain expanders and Gromov monster groups. I
• Higher index theory for certain expanders and Gromov monster groups. II
• The isoperimetric number of random regular graphs
• The Baum-Connes conjecture for amenable foliations
• The coarse Baum-Connes conjecture and groupoids
• Counterexamples to the Baum-Connes conjecture
• The diameter of random regular graphs
• Coarse Baum-Connes conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Geometric property (T)
• K-theoretic amenability for \(SL_ 2({\mathbb{Q}}_ p)\), and the action on the associated tree
• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
• A coarse Mayer–Vietoris principle
• Coarse embeddings of metric spaces into Banach spaces
• Uniform embeddability of relatively hyperbolic groups

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