Geometric norms together with inflations assemble into a functor that is an equivalence between rational ultracommutative ring spectra and certain functors on the span category of finite connected groupoids.
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Normed algebras in rational G-spectra for finite G are equivalent to families of commutative rational algebras with compatible maps indexed by conjugacy classes of subgroups according to an indexing system I.
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An algebraic model for rational ultracommutative rings
Geometric norms together with inflations assemble into a functor that is an equivalence between rational ultracommutative ring spectra and certain functors on the span category of finite connected groupoids.
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A model for normed algebras in rational G-spectra
Normed algebras in rational G-spectra for finite G are equivalent to families of commutative rational algebras with compatible maps indexed by conjugacy classes of subgroups according to an indexing system I.