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
StatePublished - Sep 1999

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Coaction
Crossed Product
Bundle
Algebra
Locally Compact Group
C*-algebra
Invariant

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

In: Bulletin of the London Mathematical Society, Vol. 31, No. 5, 09.1999, p. 556-568.

Research output: Contribution to journalArticle

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