On generalized amenability

1999/07/29 by Alexander Dranishnikov, A. N. Dranishnikov, Dranishnikov, A. N.
Mathematics · #20H15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:20H15

paper · pdf · doi:10.48550/arxiv.math/9907187

5 pages, AMSTeX, the version which is merged into a paper "Uniform Embeddings into Hilbert Space..." by D.-Gong-Lafforgue-Yu

openalex publication_date 1999/07/29 · arxiv created 1999/10/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There is a word metric d on countably generated free group Γ such that (Γ,d) does not admit a coarse uniform embedding into a Hilbert space.

Citations

• On groups with full Banach mean value

Related

• Coarse non-amenability and coarse embeddings
• On non-amenable embeddable spaces in relation with free products
• Box spaces, group extensions and coarse embeddings into Hilbert space
• A groupoid approach to Lück's amenability conjecture
• Uniform Embeddability into Hilbert Space