Group C*-Algebras and the Spectrum of a Periodic Schrödinger Operator on a Manifold

DOI10.4153/CJM-1992-011-3zbMath0772.58065OpenAlexW2046891105MaRDI QIDQ4022856

Toshikazu Sunada

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1992-011-3

zbMATH Keywords

Riemannian manifoldband spectrumperiodic Schrödinger operatordiscrete groups\(C^*\)-group algebra

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Discontinuous groups of transformations (57S30) Linear operators in (C^*)- or von Neumann algebras (47C15)

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Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds ⋮ On the spectrum of periodic elliptic operators ⋮ Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics ⋮ Periodic Jacobi matrices on trees ⋮ Spectra of infinite graphs via freeness with amalgamation ⋮ EXISTENCE OF SPECTRAL GAPS, COVERING MANIFOLDS AND RESIDUALLY FINITE GROUPS ⋮ Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry ⋮ Unnamed Item ⋮ Eigenvalue bracketing for discrete and metric graphs ⋮ Noncommutative Bloch theory ⋮ An overview of periodic elliptic operators ⋮ Remarks on periodic Jacobi matrices on trees

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