Mishchenko, A. S.; Fomenko, A. T. The index of elliptic operators over \(C^*\)-algebras. (English) Zbl 0448.46039 Math. USSR, Izv. 15, 87-112 (1980). Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 43, 831–859 (1979; Zbl 0448.46039). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 27 Documents MSC: 46L05 General theory of \(C^*\)-algebras 58J22 Exotic index theories on manifolds 58J70 Invariance and symmetry properties for PDEs on manifolds 47A53 (Semi-) Fredholm operators; index theories 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 58J40 Pseudodifferential and Fourier integral operators on manifolds 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) 35S99 Pseudodifferential operators and other generalizations of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators 58J20 Index theory and related fixed-point theorems on manifolds Keywords:index; elliptic operators over \(C^*\)-algebras; Atiyah-Singer formula; elliptic operator Citations:Zbl 0416.46052; Zbl 0448.46039 × Cite Format Result Cite Review PDF Full Text: DOI