THE INDEX OF ELLIPTIC OPERATORS OVERC*-ALGEBRAS

DOI10.1070/IM1980v015n01ABEH001207zbMath0448.46039OpenAlexW2060915534MaRDI QIDQ3894478

A. T. Fomenko, A. S. Mishchenko

Publication date: 1980

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1980v015n01abeh001207

zbMATH Keywords

indexelliptic operatorAtiyah-Singer formulaelliptic operators over \(C^*\)-algebras

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Invariance and symmetry properties for PDEs on manifolds (58J70) Exotic index theories on manifolds (58J22) Pseudodifferential operators and other generalizations of partial differential operators (35S99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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