Remark 7.52.
Objects in the image of \(\CAlg(\Sp)\) are \(1\)-affine, but not \(0\)-affine in the absolute sense. One may instead work relative to the sphere, in the slice
\[\Gest_{\S} := \Gest_{/\Gest(\Sp)}.\]
For every ring spectrum \(R\in\CAlg(\Sp)\), the induced object over \(\Gest(\Sp)\) is \(0\)-affine relative to this base.