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Mishchenko, A. S.

C*-algebras and K-theory. (English) Zbl 0444.57014

Algebr. topology, Proc. Symp., Aarhus 1978, Lect. Notes Math. 763, 262-274 (1979).
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scan of Zbl 0444.57014

Cited in 4 Documents

MSC:

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

Keywords:

applying functional analytic methods to the Novikov problem on homotopy invariance of characteristic numbers of non-simply connected manifolds; generalized Hirzebruch formulas; index theorem for operators invariant under the action of a C*-algebra; elliptic A operator; Fredholm operator; generalizations of the Atiyah-Singer theorem

Citations:

Zbl 0408.00008; Zbl 0416.46052
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