Mishchenko, A. S.; Fomenko, A. T. The index of elliptic operators over \(C^*\)-algebras. (Russian) Zbl 0416.46052 Izv. Akad. Nauk SSSR, Ser. Mat. 43, 831-859 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 52 Documents MSC: 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) 46L05 General theory of \(C^*\)-algebras 47Gxx Integral, integro-differential, and pseudodifferential operators 35S99 Pseudodifferential operators and other generalizations of partial differential operators 58J20 Index theory and related fixed-point theorems on manifolds 58J40 Pseudodifferential and Fourier integral operators on manifolds Keywords:pseudodifferential operator; elliptic operator; index of elliptic operator; \(C^*\)-algebra; lambda-operator; compact manifold; Atiyah-Singer index theorem; cotangent bundle; symbol; Sobolev norms; Fredholm operators Citations:Zbl 0274.18016; Zbl 0376.57017 PDFBibTeX XMLCite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Izv. Akad. Nauk SSSR, Ser. Mat. 43, 831--859 (1979; Zbl 0416.46052)