A transverse index theorem in the calculus of filtered manifolds
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Publication:6611755
DOI10.1016/j.jfa.2024.110618zbMath1548.58004MaRDI QIDQ6611755
Publication date: 27 September 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Foliations (differential geometric aspects) (53C12) Pseudogroups and differentiable groupoids (58H05) Index theory (19K56) Vector distributions (subbundles of the tangent bundles) (58A30)
Cites Work
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- Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
- The longitudinal index theorem for foliations
- Pseudodifferential operators on groups with dilations
- Equivariant Kasparov theory and groupoids. I
- The Baum-Connes conjecture and discrete group actions on trees
- Groupoids and the integration of Lie algebroids
- Holonomy groupoids of singular foliations.
- Tangent maps and tangent groupoid for Carnot manifolds
- Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps
- About the convolution of distributions on groupoids
- Graded hypoellipticity of BGG sequences
- A groupoid approach to pseudodifferential calculi
- Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus
- Lie groupoids, pseudodifferential calculus, and index theory
- The holonomy groupoid of a singular foliation
- Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
- Calculus on Heisenberg Manifolds. (AM-119)
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
- On the tangent groupoid of a filtered manifold
- On the deformation groupoid of the inhomogeneous pseudo‐differential Calculus
- Pseudodifferential operators on filtered manifolds as generalized fixed points
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