The paper constructs a symmetric monoidal closed model category of Gamma-spaces whose fibrant objects are coherently commutative monoidal quasi-categories, and proves Quillen equivalences with normalized Gamma-spaces and with Lurie's symmetric monoidal quasi-categories.
On the homotopy theory of $\mathbf{G}$ - spaces
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abstract
The aim of this paper is to show that the most elementary homotopy theory of $\mathbf{G}$-spaces is equivalent to a homotopy theory of simplicial sets over $\mathbf{BG}$, where $\mathbf{G}$ is a fixed group. Both homotopy theories are presented as Relative categories. We establish the equivalence by constructing a strict homotopy equivalence between the two relative categories. No Model category structure is assumed on either Relative Category.
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2019 1verdicts
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A homotopy theory of coherently commutative monoidal quasi-categories
The paper constructs a symmetric monoidal closed model category of Gamma-spaces whose fibrant objects are coherently commutative monoidal quasi-categories, and proves Quillen equivalences with normalized Gamma-spaces and with Lurie's symmetric monoidal quasi-categories.