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Topological invariants of elliptic operators. I: K-homology. (English) Zbl 0337.58006

MSC:
58J20 Index theory and related fixed-point theorems on manifolds
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47A53 (Semi-) Fredholm operators; index theories
55N15 Topological \(K\)-theory
55N35 Other homology theories in algebraic topology
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
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