Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds

DOI10.4171/JNCG/267zbMath1367.58013arXiv1503.02998OpenAlexW2964325595WikidataQ115212251 ScholiaQ115212251MaRDI QIDQ510253

Maxim Braverman, Simone Cecchini

Publication date: 17 February 2017

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02998

zbMATH Keywords

von Neumann algebrasFredholmnessself-adjointnessCallias index

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of partial differential operators (47F05) (Semi-) Fredholm operators; index theories (47A53) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items

Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds ⋮ Callias-type operators in C∗-algebras and positive scalar curvature on noncompact manifolds ⋮ Callias-type operators in von Neumann algebras ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem ⋮ Self-adjoint extensions of differential operators on Riemannian manifolds ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

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