C*-Algebra Extensions and K-Homology. (AM-95)

DOI10.1515/9781400881468zbMath0458.46049OpenAlexW2493188247MaRDI QIDQ3908054

Ronald G. Douglas

Publication date: 1980

Full work available at URL: https://doi.org/10.1515/9781400881468

zbMATH Keywords

suspensionLecturesindex theoryBrown-Douglas-Fillmore theoryhomotopy invarianceCalkin algebraK-homologynuclear C*-algebrasBott periodicity theoremC*-algebra extensionsEilenberg-Steenrod axioms for a homology theoryBDF-theoryAtiyah Singer index theoremclassification of extensions in the category of C*-algebrasK-cohomology theory

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (22)

Remarks on the extension group for purely infinite corona algebras ⋮ Essential normality of Bergman modules over intersections of complex ellipsoids ⋮ Real rank zero for purely infinite corona algebras ⋮ Diagonalization modulo norm ideals with Lipschitz estimates ⋮ The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor ⋮ Geometric K-homology of flat D-branes ⋮ Embedding \(C^*\)-algebra extensions into AF algebras ⋮ Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types ⋮ Measurability, spectral densities, and hypertraces in noncommutative geometry ⋮ Eta cocycles, relative pairings and the Godbillon-Vey index theorem ⋮ Weakly concave operators ⋮ A Comment on the Novikov Conjecture ⋮ Equivariant dimensions of graph \(C^\ast\)-algebras ⋮ Unnamed Item ⋮ Index and dynamics of quantized contact transformations ⋮ Smooth Extensions for Finite CW Complexes ⋮ Toeplitz Algebras on Strongly Pseudoconvex Domains ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ Index Theory on Curves ⋮ The classification of extensions of 𝐶*-algebras ⋮ Some infinite dimensional groups and bundles ⋮ Trace invariants associated with quotient modules of the Hardy module

This page was built for publication: C*-Algebra Extensions and K-Homology. (AM-95)