Full crossed products by coactions, C0(X)-algebras and C*-bundles

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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 ×δI G → 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.

Original languageEnglish (US)
Pages (from-to)556-568
Number of pages13
JournalBulletin of the London Mathematical Society
Volume31
Issue number5
DOIs
StatePublished - Sep 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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