A Schwartz type algebra for the Tangent Groupoid

zbMath1165.58003arXiv0802.3596MaRDI QIDQ3545874

Paulo Carrillo Rouse

Publication date: 11 December 2008

Full work available at URL: https://arxiv.org/abs/0802.3596

zbMATH Keywords

noncommutative geometry\(K\)-theoryindexgroupoidsingular spacetangent groupoidSchwartz algebra

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Topological groupoids (including differentiable and Lie groupoids) (22A22) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

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Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions ⋮ Twisted index theory for foliations ⋮ Topological \(K\)-theory for discrete groups and index theory ⋮ Lie groupoid deformations and convolution algebras ⋮ Multiplicative structures and the twisted Baum-Connes assembly map ⋮ K-theory and index theory for some boundary groupoids ⋮ Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus ⋮ Euler-like vector fields, deformation spaces and manifolds with filtered structure ⋮ Spinors and the tangent groupoid ⋮ The Atiyah-Singer cobordism invariance and the tangent groupoid ⋮ On the deformation groupoid of the inhomogeneous pseudo‐differential Calculus ⋮ An index theorem for manifolds with boundary ⋮ A groupoid approach to pseudodifferential calculi

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