Callias-type operators in C∗-algebras and positive scalar curvature on noncompact manifolds

DOI10.1142/S1793525319500687zbMath1451.19019arXiv1611.01800OpenAlexW2963734767MaRDI QIDQ5131447

Simone Cecchini

Publication date: 7 November 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01800

zbMATH Keywords

hypersurfacepositive scalar curvatureindex theoryunbounded KK-theoryCallias-type operatorsMiščenko-Fomenko index

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Geometric applications of topological (K)-theory (19L64) Index theory (19K56)

Related Items (13)

Equivariant Callias index theory via coarse geometry ⋮ Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature ⋮ Positive scalar curvature and Poincaré duality for proper actions ⋮ Nonnegative scalar curvature on manifolds with at least two ends ⋮ Callias-type operators associated to spectral triples ⋮ Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension ⋮ A long neck principle for Riemannian spin manifolds with positive scalar curvature ⋮ Width, largeness and index theory ⋮ Positive scalar curvature and an equivariant Callias-type index theorem for proper actions ⋮ Callias-type operators in von Neumann algebras ⋮ On the completeness of some Bianchi type a and related Kähler-Einstein metrics ⋮ Coarse geometry and Callias quantisation ⋮ Band width estimates via the Dirac operator

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