Douglas, Ronald G. [Weyl, Hermann] \(C^*\)-algebra extensions and K-homology. (English) Zbl 0458.46049 Annals of Mathematics Studies, No. 95. Princeton, New Jersey: Princeton University Press and University of Tokyo Press. VII, 85 p. $ 16.00/$ 5.50 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 20 Documents MSC: 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) 46L05 General theory of \(C^*\)-algebras 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 55N15 Topological \(K\)-theory 18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) 18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) Keywords:Lectures; C*-algebra extensions; K-homology; index theory; Brown-Douglas-Fillmore theory; BDF-theory; classification of extensions in the category of C*-algebras; Calkin algebra; nuclear C*-algebras; homotopy invariance; suspension; Eilenberg-Steenrod axioms for a homology theory; Atiyah Singer index theorem; K-cohomology theory; Bott periodicity theorem Citations:Zbl 0165.155 PDFBibTeX XML Full Text: DOI