Geometric \(K\)-homology and controlled paths

zbMath0930.46057MaRDI QIDQ1292233

Navin Keswani

Publication date: 20 June 1999

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120114

zbMATH Keywords

Fourier transformDirac operatorsClifford bundletrace class operatorSchwartz classDirac-type operator\(K\)-homologyfinite propagation speedtrace class perturbationBaum's geometric theorysmooth oriented Riemannian manifold

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Ext and (K)-homology (19K33) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (11)

Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ The bordism group of unbounded KK-cycles ⋮ Delocalized eta invariants, cyclic cohomology and higher rho invariants ⋮ Positive scalar curvature metrics via end-periodic manifolds ⋮ Secondary higher invariants and cyclic cohomology for groups of polynomial growth ⋮ Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model ⋮ Elliptic operators and higher signatures.

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