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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 ReviewsCited in 109 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 PDF BibTeX XML Cite \textit{G. G. Kasparov}, Izv. Akad. Nauk SSSR, Ser. Mat. 44, 571--636 (1980; Zbl 0448.46051)