Permanence of metric sparsification property under finite decomposition complexity

DOI10.1007/s11401-014-0853-9zbMath1354.46022OpenAlexW1998770660MaRDI QIDQ2257071

Qin Wang, Wenjing Wang, Xian-Jin Wang

Publication date: 23 February 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0853-9

zbMATH Keywords

metric spaceasymptotic dimensionmetric sparsificationdecomposition complexitypermanence property

Mathematics Subject Classification ID

Geometric group theory (20F65) Metric spaces, metrizability (54E35) (K)-theory and operator algebras (including cyclic theory) (46L80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Cites Work

• Unnamed Item
• Operator norm localization for linear groups and its application to \(K\)-theory
• Operator norm localization property of metric spaces under finite decomposition complexity
• Metric sparsification and operator norm localization
• Operator norm localization property of relative hyperbolic group and graph of groups
• On asymptotic dimension of groups acting on trees.
• On asymptotic dimension of groups
• The Novikov conjecture for linear groups
• Geometrization of the Strong Novikov Conjecture for residually finite groups

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