Gelfand theory of certain \(C^*\)-algebras on nonasymptotically flat manifolds

DOI10.1007/BF01199304zbMath0661.46050MaRDI QIDQ1113062

Shing H. Doong

Publication date: 1988

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

maximal ideal spacecommutator idealGelfand map\(C^*\)-algebra of zero-order pseudo-differential operators on a complete Riemannian manifold with finitely many conical ends

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Schrödinger operator, Schrödinger equation (35J10) General theory of (C^*)-algebras (46L05) Exotic index theories on manifolds (58J22) Linear operators in (C^*)- or von Neumann algebras (47C15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Cites Work

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• Fredholm theory of partial differential equations on complete Riemannian manifolds
• Remarks on singular elliptic theory for complete Riemannian manifolds
• The \(C^*\)-algebra of a singular elliptic problem on a noncompact Riemannian manifold
• Singular Integral Operators and Differential Equations
• Integro-Differential Operators on Vector Bundles
• Gel'Fand Theory of Pseudo Differential Operators

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