Continuous-trace algebras from the bundle theoretic point of view

1989/12/01 by Jonathan Rosenberg · 183 citations
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #TRACE (psycholinguistics) #Mathematics #Separable space #Automorphism #Pure mathematics #Point (geometry) #Bundle #Principal (computer security) #Vector bundle #Principal bundle #Space (punctuation) #Algebra over a field #Mathematical analysis #Computer science #Geometry

paper · pdf · doi:10.1017/s1446788700033097

published in Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics 47(3), 368-381 (Cambridge University Press)

openalex publication_date 1989/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Abstract Using various facts about principal bundles over a space, we give a unified treatment of several theorems about the structure of stable separable continuous-trace algebras, their automorphisms, and their K -theory. We also present a classification of real continuous-trace algebras from the same point of view.

Citations

• Equivariant K-theory and completion

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