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- W2771569875 abstract "Let $ alpha: mathcal{C} to mathcal{D}$ be a symmetric monoidal functor from a stable presentable symmetric monoidal $infty$-category $mathcal{C} $ compactly generated by the tensorunit to a stable presentable symmetric monoidal $infty$-category $ mathcal{D} $ with compact tensorunit. Let $beta: mathcal{D} to mathcal{C}$ be a right adjoint of $alpha$ and $ mathrm{X}: mathcal{B} to mathcal{D} $ a symmetric monoidal functor starting at a small rigid symmetric monoidal $infty$-category $ mathcal{B}$. We construct a symmetric monoidal equivalence between modules in the $infty$-category of functors $ mathcal{B} to mathcal{C} $ over the $ mathrm{E}_infty$-algebra $beta circ mathrm{X} $ and the full subcategory of $mathcal{D}$ compactly generated by the essential image of $mathrm{X}$. Especially for every motivic $ mathrm{E}_infty$-ring spectrum $mathrm{A}$ we obtain a symmetric monoidal equivalence between the $infty$-category of cellular motivic $mathrm{A}$-module spectra and modules in the $infty$-category of functors $mathrm{QS}$ to spectra over some $ mathrm{E}_infty$-algebra, where $mathrm{QS}$ denotes the 0th space of the sphere spectrum." @default.
- W2771569875 created "2017-12-22" @default.
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- W2771569875 date "2017-12-01" @default.
- W2771569875 modified "2023-09-26" @default.
- W2771569875 title "A characterization of cellular motivic spectra" @default.
- W2771569875 hasPublicationYear "2017" @default.
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