The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces

DOI10.1007/s00039-021-00563-7zbMath1468.19009arXiv1811.02086OpenAlexW3154631738WikidataQ113906235 ScholiaQ113906235MaRDI QIDQ2041862

Jianchao Wu, Sherry Gong, Guo-Liang Yu

Publication date: 26 July 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02086

zbMATH Keywords

group actionNovikov conjecture\(KK\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (7)

The Novikov conjecture and extensions of coarsely embeddable groups ⋮ The coarse Novikov conjecture for coarse fibrations over Banach spaces with property (H) ⋮ \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras ⋮ A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity ⋮ The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions

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