Analysis on singular spaces: Lie manifolds and operator algebras

DOI10.1016/j.geomphys.2016.03.014zbMath1339.58015arXiv1512.06575OpenAlexW2275715873MaRDI QIDQ288821

Victor Nistor

Publication date: 27 May 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06575

zbMATH Keywords

cyclic homologyLie groupoidFredholm operator\(C^\ast\)-algebraindex theoremLie manifold

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Pseudodifferential and Fourier integral operators on manifolds (58J40) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Pseudogroups and differentiable groupoids (58H05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ The index of Dirac operators on incomplete edge spaces ⋮ On certain operator families ⋮ Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds ⋮ Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds ⋮ Pseudo-Differential Operators on Manifolds with a Singular Boundary ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples

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