An equivariant higher index theory and nonpositively curved manifolds

DOI10.1016/j.jfa.2008.06.025zbMath1151.58014OpenAlexW2038677971MaRDI QIDQ952480

Lin Shan

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.025

zbMATH Keywords

Novikov conjectureequivariant higher index mapequivariant Roe algebratwisted algebrasnonpositive sectional curvature

Mathematics Subject Classification ID

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

Related Items (8)

The equivariant coarse Baum-Connes conjecture for spaces which admit an equivariant coarse embedding into Hilbert space ⋮ Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ Operator norm localization for linear groups and its application to \(K\)-theory ⋮ The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions ⋮ A concentration theorem of expanders on Hadamard manifolds ⋮ The equivariant coarse Novikov conjecture and coarse embedding ⋮ Controlled topological phases and bulk-edge correspondence ⋮ Equivariant higher-index problems for proper actions and nonpositively curved manifolds

Cites Work

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• The coarse geometric Novikov conjecture and uniform convexity
• Equivariant KK-theory and the Novikov conjecture
• Localization algebras and the coarse Baum-Connes conjecture
• Coarse Baum-Connes conjecture
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• A coarse Mayer–Vietoris principle
• Comparing Analytic Assembly Maps
• Coarse cohomology and index theory on complete Riemannian manifolds

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