A higher Mackey functor description of algebras over an N∞-operad

Suppose G is a finite group. In this paper, we construct an equivalence between the ∞-category of algebras over an N∞-operad O associated to a G-indexing system I and the corresponding ∞-category of higher incomplete I-Mackey functors with value in spaces. We use the universal property of the incomplete $(2, 1)$-category of spans of finite G-sets AI to construct a functor from AI to the $2$-category of I-normed symmetric monoidal categories of Rubin. We then show that the left Kan extension of the composition of this functor with the core functor is an equivalence.