scientific article

zbMath0444.57014MaRDI QIDQ3888196

A. S. Mishchenko

Publication date: 1979

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Fredholm operatorapplying functional analytic methods to the Novikov problem on homotopy invariance of characteristic numbers of non-simply connected manifoldselliptic A operatorgeneralizations of the Atiyah-Singer theoremgeneralized Hirzebruch formulasindex theorem for operators invariant under the action of a C*-algebra

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Characteristic classes and numbers in differential topology (57R20) General theory of (C^*)-algebras (46L05) Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Surgery obstructions, Wall groups (57R67)

Related Items (4)

The strong Novikov conjecture for low degree cohomology ⋮ Elliptic operators and higher signatures. ⋮ \(K\)-theory from the point of view of \(C^\ast\)-algebras and Fredholm representations ⋮ Hermitian K-theory over topological *-algebras

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