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FULL CROSSED PRODUCTS BY COACTIONS, C0(X)-ALGEBRAS AND C*-BUNDLES

Published online by Cambridge University Press:  01 September 1999

MAY NILSEN
MAY NILSEN
Affiliation:
Department of Mathematics and Statistics, 841 Oldfather Hall, University of Nebraska–Lincoln, Lincoln, NE 68588-0323, USA
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Abstract

Let δ be a coaction of a locally compact group G on a C*-algebra A. We show that if I is a δ-invariant ideal in A, then 0 → I×δIG → A×δG → (A/I)×δIG → 0 for full crossed products, as Landstad et al. have done for spatial crossed products by coactions. We prove that for suitable coactions, the crossed products of C0(X)-algebras are again C0(X)-algebras, and the crossed products of continuous C*-bundles by a locally compact group are again continuous C*-bundles.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 5 , September 1999 , pp. 556 - 568
Copyright
© The London Mathematical Society 1999

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