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Dec 3, 2009 at 14:09 comment added Tyler Lawson I've only seen it referred to as the fixed point object $(E \wedge E)^{\mathbb{Z}/2}$ with the understanding that $E \wedge E$ has a standard genuine equivariant structure. Any $\mathbb{Z}/2$-spectrum has its fixed points living in such a pullback diagram; you can look in Greenlees-May's "Generalized Tate cohomology" book or some of the literature related to TC like Ausoni-Rognes, Hesselholt-Madsen, Madsen's survey article, or Tsalidis' paper.
Dec 3, 2009 at 2:38 comment added Reid Barton Is there a standard name for this object (the pullback of that diagram)? Do you know a place to read about it?
Dec 2, 2009 at 15:58 vote accept Reid Barton
Dec 2, 2009 at 14:14 history answered Tyler Lawson CC BY-SA 2.5