Embeddable box spaces of free groups

DOI10.1007/s00208-014-1029-3zbMath1337.46018arXiv1304.4784OpenAlexW2964033410MaRDI QIDQ464136

Ana Khukhro

Publication date: 17 October 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4784

zbMATH Keywords

Hilbert spacefree groupcoarse embeddinggirth of a graphbox space

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Distance in graphs (05C12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (7)

The coarse Baum-Connes conjecture for certain relative expanders ⋮ Discrete fundamental groups of warped cones and expanders ⋮ Group cubization ⋮ Warped cones over profinite completions ⋮ Box spaces of the free group that neither contain expanders nor embed into a Hilbert space ⋮ Coarse fundamental groups and box spaces ⋮ Relative expanders

Cites Work

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• Box spaces, group extensions and coarse embeddings into Hilbert space
• Higher index theory for certain expanders and Gromov monster groups. II
• Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Coarsely embeddable metric spaces without Property A
• Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
• Characterization of the Haagerup property by fibred coarse embedding into Hilbert space
• On coarse embeddability into l_p-spaces and a conjecture of Dranishnikov

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