For any Lurie infinity-operad, the infinity-category of operadic left fibrations is equivalent to the infinity-category of algebras in spaces.
Dendroidal spaces, -spaces and the special B arratt- P riddy- Q uillen theorem
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A straightening-unstraightening equivalence for $\infty$-operads
For any Lurie infinity-operad, the infinity-category of operadic left fibrations is equivalent to the infinity-category of algebras in spaces.