Pseudodifferential calculus on manifolds with corners and groupoids

DOI10.1090/S0002-9939-99-04850-9zbMath0939.35202arXivfunct-an/9707008OpenAlexW1560198748MaRDI QIDQ4257608

Bertrand Monthubert

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9707008

zbMATH Keywords

\(C^*\)-algebraspseudodifferential calculusmanifolds with singularitiesdifferentiable groupoidlongitudinally smooth

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Topological groupoids (including differentiable and Lie groupoids) (22A22) Index theory (19K56)

Related Items (26)

Groupoids and pseudodifferential calculus on manifolds with corners ⋮ Cobordism invariance of the family index ⋮ Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Singular spaces, groupoids and metrics of positive scalar curvature ⋮ Fourier integral operators on Lie groupoids ⋮ A topological approach to indices of geometric operators on manifolds with fibered boundaries ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Homology of algebras of families of pseudodifferential operators. ⋮ Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus ⋮ Noncommutative geometry and classification of elliptic operators ⋮ Atiyah-Bott index on stratified manifolds ⋮ A topological index theorem for manifolds with corners ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps ⋮ Boutet de Monvel operators on Lie manifolds with boundary ⋮ Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras ⋮ On spectra of geometric operators on open manifolds and differentiable groupoids ⋮ The equivariant analytic index for proper groupoid actions ⋮ Groupoids and an index theorem for conical pseudo-manifolds ⋮ Formality theorems for Hochschild chains in the Lie algebroid setting ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ Elliptic symbols, elliptic operators and Poincaré duality on conical pseudomanifolds ⋮ A groupoid approach to pseudodifferential calculi ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families ⋮ Spectral invariance of algebras of pseudodifferential operators

This page was built for publication: Pseudodifferential calculus on manifolds with corners and groupoids