\(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture

DOI10.4171/JNCG/420WikidataQ113691979 ScholiaQ113691979MaRDI QIDQ2073899

Yoshiyasu Fukumoto

Publication date: 8 February 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05884

zbMATH Keywords

Novikov conjectureproper actionsalmost flat bundleshigher signatures

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) de Rham theory in global analysis (58A12) Kasparov theory ((KK)-theory) (19K35) Equivariant (K)-theory (19L47) Index theory (19K56)

Related Items (2)

An index theorem for higher orbital integrals ⋮ Uniform homotopy invariance of Roe index of the signature operator

Cites Work

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• Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
• The strong Novikov conjecture for low degree cohomology
• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• Equivariant KK-theory and the Novikov conjecture
• The Novikov conjecture for low degree cohomology classes
• An equivariant Novikov conjecture
• Positive Scalar Curvature, K-area and Essentialness
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY

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