Title: The site R^+_G for a profinite group G
Author: Daniel G. Davis
Author's e-mail address: dgdavis@wesleyan.edu
AMS classification number: 55P42, 55U35, 18B25
Abstract: Let G be a non-finite profinite group and let
G-Sets_{df} be the canonical site of finite discrete
G-sets. Then the category R^+_G, defined by Devinatz and
Hopkins, is the category obtained by considering G-Sets_{df}
together with the profinite G-space G itself, with morphisms
being continuous G-equivariant maps. We show that R^+_G
is a site when equipped with the pretopology of epimorphic
covers. Also, we explain why the associated topology on R^+_G
is not subcanonical, and hence, not canonical. We note that,
since R^+_G is a site, there is automatically a model category
structure on the category of presheaves of spectra on the
site. Finally, we point out that such presheaves of spectra
are a nice way of organizing the data that is obtained by
taking the homotopy fixed points of a continuous G-spectrum
with respect to the open subgroups of G.