Operator norm localization property of metric spaces under finite decomposition complexity

DOI10.1016/J.JFA.2009.05.022zbMath1185.46011OpenAlexW1974169633MaRDI QIDQ734348

Xiaoman Chen, Qin Wang, Xian-Jin Wang

Publication date: 20 October 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.05.022

zbMATH Keywords

metric spacecoarse Novikov conjecturelinear groupoperator norm localizationfinite decomposition complexity

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Algebraic topology on manifolds and differential topology (57R19) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (3)

Ghostbusting and property A ⋮ On strong embeddability and finite decomposition complexity ⋮ Permanence of metric sparsification property under finite decomposition complexity

Cites Work

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• Operator norm localization for linear groups and its application to \(K\)-theory
• 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
• Counterexamples to the Baum-Connes conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Geometrization of the Strong Novikov Conjecture for residually finite groups
• Coarse cohomology and index theory on complete Riemannian manifolds

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