### Abstract

We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.

Original language | English (US) |
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Pages (from-to) | 4401-4412 |

Number of pages | 12 |

Journal | Proceedings of the American Mathematical Society |

Volume | 144 |

Issue number | 10 |

DOIs | |

State | Published - Oct 2016 |

### Keywords

- Action
- Coaction
- Crossed product
- Exact sequence
- Fourier-Stieltjes algebra
- Morita compatible

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Exact large ideals of B(G) are downward directed'. Together they form a unique fingerprint.

## Cite this

Kaliszewski, S., Landstad, M. B., & Quigg, J. (2016). Exact large ideals of B(G) are downward directed.

*Proceedings of the American Mathematical Society*,*144*(10), 4401-4412. https://doi.org/10.1090/proc/13100