The coarse Baum-Connes conjecture for Busemann nonpositively curved spaces

DOI10.1215/21562261-3445129zbMath1348.58013arXiv1304.3224OpenAlexW3098822379WikidataQ123334188 ScholiaQ123334188MaRDI QIDQ272913

Tomohiro Fukaya, Shin-ichi Oguni

Publication date: 21 April 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3224

zbMATH Keywords

coarse Baum-Connes conjecture\(\operatorname{CAT} (0)\)-spaceBusemann nonpositively curved spacecoarse compactificationvisual boundary

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22)

Related Items (7)

Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ Coronas for properly combable spaces ⋮ A coarse Cartan–Hadamard theorem with application to the coarse Baum–Connes conjecture ⋮ The equivariant coarse Novikov conjecture and coarse embedding ⋮ Coronae of relatively hyperbolic groups and coarse cohomologies ⋮ On coarse geometric aspects of Hilbert geometry

Cites Work

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• Coarse Baum-Connes conjecture
• Some `homological' properties of the stable Higson corona
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The boundary of a Busemann space
• Coarse cohomology and index theory on complete Riemannian manifolds
• DUALIZING THE COARSE ASSEMBLY MAP
• Coronae of relatively hyperbolic groups and coarse cohomologies

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