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Apr 13, 2011 at 11:04 comment added Dan Isaksen The space $R_{\mathbb{R}}(X)$ has points consisting of maps Spec $\mathbb{C} \rightarrow X$ over $\Spec \mathbb{R}$. So complex conjugation induces an involution. The natural target for $R_{\mathbb{R}}$ is $\mathbb{Z}/2$-spaces, i.e., spaces equipped with an action of $\mathbb{Z}/2$.
Apr 12, 2011 at 19:35 vote accept user14310
Apr 12, 2011 at 16:28 answer added Georges Elencwajg timeline score: 6
Apr 12, 2011 at 16:17 comment added Donu Arapura Yes (yes) and no I don't really know a good reference.
Apr 12, 2011 at 15:54 history asked user14310 CC BY-SA 3.0