Some `homological' properties of the stable Higson corona

DOI10.4171/JNCG/114zbMath1269.46052MaRDI QIDQ1946286

Rufus Willett

Publication date: 19 April 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

zbMATH Keywords

coarse geometryGromov boundaryHigson compactificationHigson coronavisual boundarycoarse homotopy theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Homotopy theory (55P99)

Related Items (6)

The coarse Baum-Connes conjecture for Busemann nonpositively curved spaces ⋮ Equivariant coarse (co-)homology theories ⋮ A pullback diagram in the coarse category ⋮ A twisted version of controlled \(K\)-theory ⋮ An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg) ⋮ Slant products on the Higson-Roe exact sequence

Cites Work

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• An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg)
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• \(C^*\)-algebras and controlled topology
• On the Higson corona of uniformly contractible spaces
• Fredholm indices of band-dominated operators
• Limit operators and their applications in operator theory
• A coarse Mayer–Vietoris principle
• A Homotopy Invariance Theorem in Coarse Cohomology and K-Theory
• DUALIZING THE COARSE ASSEMBLY MAP

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