Continuous-trace algebras from the bundle theoretic point of view

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. 1980 Mathematics subject classification (Amer. Math. Soc.) (1985 Revision): 46 L 05, 46 L 35, 46 L 80, 46 M 20, 55 R 10, 19 K 99. © 1989, Australian Mathematical Society. All rights reserved.