The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics

DOI10.1007/BF02506416zbMath0876.58047OpenAlexW2069728522MaRDI QIDQ2364985

Toshikazu Natsume, Ryszard Nest, George A. Elliott

Publication date: 25 November 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02506416

zbMATH Keywords

\(C^*\)-algebrasAtiyah-Singer index theoremelliptic pseudo-differential operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items

An equivariant index for proper actions. I, Lie groupoid deformations and convolution algebras, Lie groupoids, pseudodifferential calculus, and index theory, Cyclic cocycles on deformation quantizations and higher index theorems, Index theory for boundary value problems via continuous fields of \(C^*\)-algebras, Elliptic symbols, elliptic operators and Poincaré duality on conical pseudomanifolds, Strongly asymptotic morphisms on separable metrisable algebras, The Heisenberg group and \(K\)-theory

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