Exact large ideals of B(G) are downward directed

Exact large ideals of B(G) are downward directed

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\cap F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-10, Vol.144 (10), p.4401-4412
Hauptverfasser: Kaliszewski, S., Landstad, Magnus B., Quigg, John
Format: Artikel
Sprache:eng
Schlagworte:
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Zusammenfassung: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\cap F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13100