(Integrate comment here about smooth and flat versions.)

Example

$GL$: Consider $R$ an E-∞ ring, $CAlg_R$, the ∞-category of $R$-algebras, $Mod_R$ an ∞-category of $R$-modules. Let $Sym_R$ be left adjoint to the forgetful functor $CAlg_R \to Mod_R$. Set $M_{n,R} = Spec Sym_R End_R(R^{\oplus n})$, a spectral monoid scheme which represents $R \mapsto End_R(R^{\oplus n})$. Let $GL_{n,R}$ be the spectral group scheme obtained by inverting the determinant element in $\pi_o M_{n,R}$ (Ohara).

References

Mariko Ohara, On the K-theory of finitely generated projective modules over a spectral ring, slide 27 of slides.

Last revised on December 29, 2016 at 11:34:08.
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