Exact large ideals of ( ) are downward directed
We prove that if E E and F F are large ideals of B ( G ) B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F 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 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that if
E
E
and
F
F
are large ideals of
B
(
G
)
B(G)
for which the associated coaction functors are exact, then the same is true for
E
∩
F
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 |