Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T16:00:11.003Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)