### 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 ×_{δ}G → (A/I) ×_{δI}G → 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 C_{0}(X)-algebras are again C_{0}(X)-algebras, and the crossed products of continuous C*-bundles by a locally compact group are again continuous C*-bundles.

Original language | English (US) |
---|---|

Pages (from-to) | 556-568 |

Number of pages | 13 |

Journal | Bulletin of the London Mathematical Society |

Volume | 31 |

Issue number | 5 |

State | Published - Sep 1999 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Full crossed products by coactions, C _{0}(X)-algebras and C*-bundles.** / Boggess, May.

Research output: Contribution to journal › Article

_{0}(X)-algebras and C*-bundles',

*Bulletin of the London Mathematical Society*, vol. 31, no. 5, pp. 556-568.

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TY - JOUR

T1 - Full crossed products by coactions, C0(X)-algebras and C*-bundles

AU - Boggess, May

PY - 1999/9

Y1 - 1999/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002520381&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002520381&partnerID=8YFLogxK

M3 - Article

VL - 31

SP - 556

EP - 568

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 5

ER -