An equivariant Novikov conjecture

DOI10.1007/BF00534192zbMath0721.57018OpenAlexW1997148496WikidataQ123166616 ScholiaQ123166616MaRDI QIDQ2640951

Shmuel Weinberger, Jonathan M. Rosenberg

Publication date: 1990

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534192

zbMATH Keywords

Novikov conjecturefundamental groupoidKK-theory\(C^ *\)-algebraequivariant K-groupsG- equivariant signaturesG-pseudoequivalence

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) (K)-theory and operator algebras (including cyclic theory) (46L80) Characteristic classes and numbers in differential topology (57R20) Kasparov theory ((KK)-theory) (19K35) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (7)

A Fixed point theorem for periodic maps on locally symmetric manifolds ⋮ \(K\)-theory for topological algebroids ⋮ Bivariant twisted cyclic theory and spectral sequences of crossed products ⋮ Equivariant Novikov conjecture for groups acting on Euclidean buildings ⋮ Higher \(G\)-signatures for Lipschitz manifolds ⋮ Cyclic cocycles on deformation quantizations and higher index theorems ⋮ \(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture

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