Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory

DOI10.1515/crll.2005.2005.581.193zbMath1084.58010arXivmath/0305189OpenAlexW3101742254MaRDI QIDQ4677657

Varghese Mathai, Yurii A. Kordyukov, Mikhail A. Shubin

Publication date: 12 May 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305189

zbMATH Keywords

spectral projectionspectrum\(K\)-theorysemiclassical limitmodel operatorvanishing theoremelliptic self-adjoint operatorMorse type endomorphism

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55) Many-body theory; quantum Hall effect (81V70) Pseudodifferential operators (47G30)

Related Items (9)

Magnetic Schrödinger operator from the point of view of noncommutative geometry ⋮ Quantum Hall Effect and Noncommutative Geometry ⋮ Spectral gaps for periodic Schrödinger operators with strong magnetic fields ⋮ Magnetic Bloch theory and noncommutative geometry ⋮ Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells ⋮ Applications of noncommutative geometry in function theory and mathematical physics ⋮ Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect ⋮ Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom ⋮ Higher localised \(\hat{A}\)-genera for proper actions and applications

This page was built for publication: Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory