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The equivalence between rational G-sheaves and rational G-Mackey functors for profinite G

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 نشر من قبل David Barnes
 تاريخ النشر 2020
  مجال البحث
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For G a profinite group, we construct an equivalence between rational G-Mackey functors and a certain full subcategory of $G$-sheaves over the space of closed subgroups of G called Weyl-G-sheaves. This subcategory consists of those sheaves whose stalk over a subgroup K is K-fixed. This extends the classification of rational G-Mackey functors for finite G of Th{e}venaz and Webb, and Greenlees and May to a new class of examples. Moreover, this equivalence is instrumental in the classification of rational G-spectra for profinite G, as given in the second authors thesis.



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