Baum-Connes conjecture and coarse geometry

DOI10.1007/BF00961665zbMath0829.19005OpenAlexW2084895357WikidataQ122873033 ScholiaQ122873033MaRDI QIDQ1897326

Guo-Liang Yu

Publication date: 17 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf00961665

zbMATH Keywords

metric spacescoarse geometryBaum-Connes conjectureoperator \(K\)-theorylength metric

Mathematics Subject Classification ID

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

Related Items

The equivariant coarse Baum-Connes conjecture for spaces which admit an equivariant coarse embedding into Hilbert space, INVARIANT EXPECTATIONS AND VANISHING OF BOUNDED COHOMOLOGY FOR EXACT GROUPS, Ideal structure of uniform Roe algebras of coarse spaces, Coarse Baum-Connes conjecture, Smooth subalgebras of the Roe algebra, Uniform \(K\)-theory, and Poincaré duality for uniform \(K\)-homology, Equivariant coarse homotopy theory and coarse algebraic K-homology, Higher index theory for certain expanders and Gromov monster groups. I, Uniform \(K\)-homology theory

Cites Work

• Unnamed Item
• Unnamed Item
• Construction of universal bundles. I
• Equivariant KK-theory and the Novikov conjecture
• Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))
• An index theorem on open manifolds. I. II
• Hyperbolic metric spaces and the exotic cohomology Novikov conjecture
• Coarse Baum-Connes conjecture
• Cyclic cohomology and higher indices for noncompact complete manifolds
• Group cohomology with Lipschitz control and higher signatures
• A coarse Mayer–Vietoris principle
• Coarse cohomology and index theory on complete Riemannian manifolds
• Exotic cohomology and index theory