Hilbert space compression for free products and HNN-extensions.
DOI10.1016/j.jfa.2011.08.012zbMath1256.20041arXiv1002.3879OpenAlexW2029114392MaRDI QIDQ647629
Publication date: 24 November 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.3879
finitely generated groupsfree productsquasi-isometriesHNN-extensionsBass-Serre theoryequivariant Hilbert space compressionuniform embeddability
Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Geometric group theory (20F65) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)
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Cites Work
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- Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces
- Hilbert space compression for free products and HNN-extensions.
- On Lipschitz embedding of finite metric spaces in Hilbert space
- Uniform embeddability and exactness of free products.
- Quasi-isometries between groups with infinitely many ends
- The coarse Baum-Connes conjecture and groupoids
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Embeddings of Discrete Groups and the Speed of Random Walks
- Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
- Hyperbolic groups and free constructions
- EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS
- Constructions preserving Hilbert space uniform embeddability of discrete groups
- Groups with the Haagerup property. Gromov's a-T-menability