The $K$-groups and the index theory of certain comparison $C^*$-algebras

zbMath1267.19005arXiv1005.1718MaRDI QIDQ3105485

Bertrand Monthubert, Victor Nistor

Publication date: 5 January 2012

Full work available at URL: https://arxiv.org/abs/1005.1718

zbMATH Keywords

manifold with cornersindex theoremabstract pseudodifferential algebrascomparison \(C^\ast\)-algebragroupoid \(C^\ast\)- algebra

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items (4)

Analysis on singular spaces: Lie manifolds and operator algebras ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ The principal-symbol index map for an algebra of pseudodifferential operators ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps

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