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Kasparov, G. G.

Operator-K-Funktoren und Erweiterungen von C*-Algebren. (Russian) Zbl 0448.46051

Izv. Akad. Nauk SSSR, Ser. Mat. 44, 571-636 (1980).
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Cited in 17 Reviews
Cited in 135 Documents

MSC:

46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
55N15 Topological \(K\)-theory
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
46L05 General theory of \(C^*\)-algebras

Keywords:

Brown Douglas Fillmore theory; unitary equivalence classes of the extensions of C*-algebras; operator K-functor; homotopical invariance; Bott periodicity; exact sequences; absorbing extension; group C*-algebras

Citations:

Zbl 0277.46053; Zbl 0376.46036; Zbl 0328.58016; Zbl 0421.46057; Zbl 0441.46057
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