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Continuous-trace algebras from the bundle theoretic point of view

Part of: Methods of category theory in functional analysis Fiber spaces and bundles Selfadjoint operator algebras $K$-theory and operator algebras

Published online by Cambridge University Press:  09 April 2009

Jonathan Rosenberg
Jonathan Rosenberg
Affiliation:
Department of Mathematics, University of Maryland College Park, Maryland 20742, U.S.A.
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Abstract

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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.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 46L35: Classifications of $C^*$-algebras 46L80: $K$-theory and operator algebras (including cyclic theory) 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 55R10: Fiber bundles 19K99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 368 - 381
Copyright
Copyright © Australian Mathematical Society 1989

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