### The site R^+_G for a profinite group G, by Daniel G. Davis

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.

Daniel G. Davis <dgdavis@wesleyan.edu>