An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg)

DOI10.1007/S00020-010-1857-9zbMath1448.47048OpenAlexW2107626667MaRDI QIDQ537516

Rufus Willett

Publication date: 20 May 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1857-9

zbMATH Keywords

Fredholm operatorstable Higson corona

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (Semi-) Fredholm operators; index theories (47A53) Linear difference operators (47B39) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (4)

On Banach algebras of band-dominated operators and their order structure ⋮ Some `homological' properties of the stable Higson corona ⋮ Noncommutative coarse geometry ⋮ Convolution operators with weakly oscillating coefficients in Hilbert moduli on groups and applications

Cites Work

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• On the Higson corona of uniformly contractible spaces
• Band-dominated Fredholm operators on discrete groups
• Fredholm indices of band-dominated operators
• Limit operators and their applications in operator theory
• Some `homological' properties of the stable Higson corona
• The Fredholm index of locally compact band-dominated operators on \(L^p (\mathbb{R})\)
• The index of elliptic operators. I
• The Finite Sections Approach to the Index Formula for Band-dominated Operators
• On the Higson-Roe corona
• DUALIZING THE COARSE ASSEMBLY MAP
• Algebraic topology and elliptic operators

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