Day convolution for infinity-categories

Abstract

Given symmetric monoidal infinity-categories C and D, subject to mild hypotheses on D, we define an infinity-categorical analog of the Day convolution symmetric monoidal structure on the functor category Fun(C, D). An E_infinity monoid for the Day convolution product is a lax monoidal functor from C to D.

Revised version fixes a major error detected by Jay Shah

References in corpus (1)

• Multiplicative structures on algebraic K-theory

Cited by in corpus (9)

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• The Beilinson regulator is a map of ring spectra
• Multiplicative Structure in the Stable Splitting of $\Omega S{L}_n(\mathbb{C})$
• The May filtration on THH and faithfully flat descent