An index theorem for Wiener-Hopf operators

DOI10.1016/j.aim.2007.11.024zbMath1141.47044arXivmath/0611198OpenAlexW1977011926MaRDI QIDQ2482056

Alexander Alldridge, Troels Rousseau Johansen

Publication date: 16 April 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611198

zbMATH Keywords

topological indexWiener-Hopf operatorgroupoid C*-algebraKK theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Index theory (19K56) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Analysis on singular spaces: Lie manifolds and operator algebras ⋮ On the Wiener-Hopf compactification of a symmetric cone ⋮ Layer potentials \(C^*\)-algebras of domains with conical points ⋮ A topological index theorem for manifolds with corners ⋮ Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener--Hopf operators

Cites Work

• Reguläre Kegel
• Continuous selections. I
• Manifolds with transverse fields in euclidean space
• Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener--Hopf operators
• The longitudinal index theorem for foliations
• A groupoid approach to C*-algebras
• Equivariant Kasparov theory and groupoids. I
• Continuous family groupoids
• Pseudodifferential analysis on continuous family groupoids
• Non-Hausdorff groupoids, proper actions and \(K\)-theory
• Smoothing a topological manifold
• Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers
• Wiener-Hopf operators on ordered homogeneous spaces. I
• The construction of homogeneous convex cones
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• Twisted K-theory of differentiable stacks
• Groupoid cohomology and extensions
• Index theory for multivariable Wiener-Hopf operators.
• Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
• C ∗ -Algebras of Multivariable Wiener-Hopf Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item