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Multiplicative Structures on Algebraic K-Theory

The algebraic K-theory of Waldhausen ∞-categories is the functor corepresented by the unit object for a natural symmetric monoidal structure. We therefore regard it as the stable homotopy theory of homotopy theories. In particular, it respects all algebraic structures, and as a result, we obtain the Deligne Conjecture for this form of K-theory.