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Is $D$ symmetric monoidal?

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arxiv 2001.07404 v1 pith:Q3MMQHAR submitted 2020-01-21 math.AT

Neil Strickland This is my paper · ORCID
classification math.AT
keywords symmetrictextfunctormathbbmonoidalcategorycertainchain
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abstract

We verify that a certain functor $D\colon\text{Sp}^\Sigma(\text{Ch}^+)\to\text{Ch}$ is symmetric monoidal. This functor is used elsewhere in developing the model category theory of symmetric spectra and of chain complexes graded over $\mathbb{N}$ or $\mathbb{Z}$.

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    The derived ∞-category of permutation modules is equivalent to modules over the Eilenberg-MacLane spectrum of the constant Mackey functor, and the equivariant modular fixed point functor recovers Balmer-Gallauer's, gi...

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