Equivalence of models for equivariant $(\infty, 1)$-categories
  In this paper we show that the known models for $(\infty, 1)$-categories can all be extended to equivariant versions for any discrete group $G$. We show that in two of the models we can also consider actions of any simplicial group $G$. 
Julia E. Bergner
math.AT math.CT