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An index for invariant elliptic operators, K-theory, and representations of Lie groups. (English. Russian original) Zbl 0526.22007
Sov. Math., Dokl. 27, 105-109 (1983); translation from Dokl. Akad. Nauk SSSR 268, 533-537 (1983).

MSC:
22D12 Other representations of locally compact groups
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
58J20 Index theory and related fixed-point theorems on manifolds
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