### 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) |
---|---|

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 1 2016 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*144*(10), 4401-4412. https://doi.org/10.1090/proc/13100

**Exact large ideals of B(G) are downward directed.** / Kaliszewski, Steven; Landstad, Magnus B.; Quigg, John.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 144, no. 10, pp. 4401-4412. https://doi.org/10.1090/proc/13100

}

TY - JOUR

T1 - Exact large ideals of B(G) are downward directed

AU - Kaliszewski, Steven

AU - Landstad, Magnus B.

AU - Quigg, John

PY - 2016/10/1

Y1 - 2016/10/1

N2 - 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.

AB - 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.

KW - Action

KW - Coaction

KW - Crossed product

KW - Exact sequence

KW - Fourier-Stieltjes algebra

KW - Morita compatible

UR - http://www.scopus.com/inward/record.url?scp=84982943012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84982943012&partnerID=8YFLogxK

U2 - 10.1090/proc/13100

DO - 10.1090/proc/13100

M3 - Article

AN - SCOPUS:84982943012

VL - 144

SP - 4401

EP - 4412

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 10

ER -