Box spaces, group extensions and coarse embeddings into Hilbert space
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Publication:435856
DOI10.1016/J.JFA.2012.04.004zbMath1250.46017arXiv1111.0569OpenAlexW2078713511MaRDI QIDQ435856
Publication date: 12 July 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.0569
Geometric group theory (20F65) Asymptotic properties of groups (20F69) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)
Related Items (13)
Expanders and box spaces ⋮ From the geometry of box spaces to the geometry and measured couplings of groups ⋮ The uniform Roe algebra of an inverse semigroup ⋮ Amenability and uniform Roe algebras ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ Full box spaces of free groups ⋮ Rokhlin dimension: absorption of model actions ⋮ Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture ⋮ Embeddable box spaces of free groups ⋮ 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 ⋮ Rokhlin dimension for actions of residually finite groups
Cites Work
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- Coarse non-amenability and coarse embeddings
- 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
- Constructions preserving Hilbert space uniform embeddability of discrete groups
- Groups with the Haagerup property. Gromov's a-T-menability
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