Operator norm localization property of relative hyperbolic group and graph of groups

DOI10.1016/J.JFA.2008.04.022zbMath1152.53031OpenAlexW1996647207MaRDI QIDQ941422

Xiaoman Chen, Xian-Jin Wang

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.04.022

zbMATH Keywords

graph of groupsRoe algebrascoarse invariantfinite propagationoperator norm localization propertystrongly relative hyperbolic group

Mathematics Subject Classification ID

Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Index theory (19K56)

Related Items (3)

Strong embeddability for groups acting on metric spaces ⋮ Permanence of metric sparsification property under finite decomposition complexity ⋮ Operator norm localization property of metric spaces under finite decomposition complexity

Cites Work

• Metric sparsification and operator norm localization
• 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
• Constructions preserving Hilbert space uniform embeddability of discrete groups
• Coarse cohomology and index theory on complete Riemannian manifolds
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