Title: Genuine equivariant operads,
Abstract: We build new algebraic structures, which we call genuine equivariant operads,
which can be thought of as a hybrid between equivariant operads and coefficient
systems. We then prove an Elmendorf-Piacenza type theorem stating that
equivariant operads, with their graph model structure, are equivalent to
genuine equivariant operads, with their projective model structure.
As an application, we build explicit models for the $N_{\infty}$-operads of
Blumberg and Hill.