The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras

DOI10.1016/j.jfa.2023.110067zbMath1526.46046MaRDI QIDQ6166744

Yazhou Zhang, Qin Wang, Liang Guo, Zheng Luo

Publication date: 3 August 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

\(K\)-theorycoarse Novikov conjectureextensions of groupsRoe algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Cites Work

• The Novikov conjecture and geometry of Banach spaces
• The coarse geometric Novikov conjecture and uniform convexity
• Equivariant KK-theory and the Novikov conjecture
• A Bott periodicity theorem for infinite dimensional Euclidean space
• Localization algebras and the coarse Baum-Connes conjecture
• Groups acting properly on ``bolic spaces and the Novikov conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces
• The coarse Novikov conjecture for coarse fibrations over Banach spaces with property (H)
• The coarse Novikov conjecture and Banach spaces with property (H)
• Relative expanders
• The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds
• Deux remarques sur l'application de Baum–Connes
• Convex analysis and optimization in Hadamard spaces
• A coarse Mayer–Vietoris principle
• On the localization algebra of Guoliang Yu
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Equivariant 𝐸-theory for 𝐶*-algebras
• Higher Index Theory
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
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