\(C^*\)-algebra extension theory and duality

DOI10.1006/jfan.1995.1054zbMath0828.46060OpenAlexW2072064935MaRDI QIDQ1891829

Nigel Higson

Publication date: 11 January 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1054

zbMATH Keywords

duality theoryBrown-Douglas-Fillmore extension theoryrelative \(K\)- homology theory of Baum and Douglas

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (14)

An analytic Grothendieck Riemann Roch theorem ⋮ \(C^*\)-categories, groupoid actions, equivariant \(KK\)-theory, and the Baum--Connes conjecture ⋮ A finite-dimensional approach to the strong Novikov conjecture ⋮ Remarks on essential codimension ⋮ Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ On absorbing extensions ⋮ A short proof of an index theorem ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ Mapping surgery to analysis. III: Exact sequences ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families ⋮ Kasparov products and dual algebras ⋮ Boundaries, spectral triples and \(K\)-homology ⋮ The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map

This page was built for publication: \(C^*\)-algebra extension theory and duality