The coarse Novikov conjecture and Banach spaces with property (H)

DOI10.1016/j.jfa.2015.02.001zbMath1335.46060OpenAlexW1969564788MaRDI QIDQ2344321

Xiaoman Chen, Qin Wang, Guo-Liang Yu

Publication date: 13 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.02.001

zbMATH Keywords

noncommutative geometrycoarse Novikov conjecturehigher index theorygeometry of Banach spaces

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Index theory (19K56) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (13)

On quantitative sphere equivalence and extrapolation phenomenon ⋮ Uniform homeomorphisms of unit spheres and property~H of Lebesgue-Bochner function spaces ⋮ The coarse Novikov conjecture for coarse fibrations over Banach spaces with property (H) ⋮ On Banach spaces with Kasparov and Yu's property (H) ⋮ Coarse metric and uniform metric ⋮ The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras ⋮ A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity ⋮ The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H) ⋮ Banach spaces which are isometric to subspaces of \(c_0(\Gamma)\) ⋮ Sphere equivalence, Property H, and Banach expanders ⋮ Novikov’s Conjecture ⋮ The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds ⋮ Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator norm localization for linear groups and its application to \(K\)-theory
• Higher index theory for certain expanders and Gromov monster groups. I
• Higher index theory for certain expanders and Gromov monster groups. II
• The coarse geometric Novikov conjecture and uniform convexity
• Metric sparsification and operator norm localization
• A reinforcement of property (T)
• K-theory for the maximal Roe algebra of certain expanders
• Equivariant KK-theory and the Novikov conjecture
• The Novikov conjecture for groups with finite asymptotic dimension
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• Localization algebras and the coarse Baum-Connes conjecture
• Counterexamples to the Baum-Connes conjecture
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Coarse Baum-Connes conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds
• A coarse Mayer–Vietoris principle
• Localization Algebras and Duality
• Geometrization of the Strong Novikov Conjecture for residually finite groups
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY
• Coarse cohomology and index theory on complete Riemannian manifolds
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
• Introduction to Algebraic K-Theory. (AM-72)

This page was built for publication: The coarse Novikov conjecture and Banach spaces with property (H)