\(C_{0}\) coarse geometry and scalar curvature.

DOI10.1016/S0022-1236(02)00025-3zbMath1042.58009MaRDI QIDQ1869058

Nick J. Wright

Publication date: 9 April 2003

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

zbMATH Keywords

spin manifoldC*-algebracomplete Riemannian manifoldK-homologyindex of Dirac type operator

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27)

Related Items (10)

On the logarithmic coarse structures of Lie groups and hyperbolic spaces ⋮ Coarse metric and uniform metric ⋮ $C_{0}$-coarse geometry of complements of Z-sets in the Hilbert cube ⋮ Canonical covers and dimension of Z-sets in the Hilbert cube ⋮ Constructing a coarse space with a given Higson or binary corona ⋮ Dugundji's canonical covers, asymptotic and covering dimension ⋮ Relative commutant pictures of Roe algebras ⋮ \(K\)-homology classes of Dirac operators on smooth subsets of singular spaces ⋮ The coarse Baum-Connes conjecture via \(C_{0}\) coarse geometry ⋮ ON COHOMOLOGY OF THE HIGSON COMPACTIFICATION OF HYPERBOLIC SPACES

Cites Work

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• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• An index theorem on open manifolds. I. II
• Curvature contents of geometric spaces
• The Novikov conjecture for groups with finite asymptotic dimension
• \(C^*\)-algebras and controlled topology
• Sharp estimates and the Dirac operator
• Asymptotic coarsening of proper metric spaces and index problems
• Coarse Baum-Connes conjecture

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