Fixed points of the equivariant algebraic $K$-theory of spaces
  In a recent work Malkiewich and Merling proposed a definition of the equivariant $K$-theory of spaces for spaces equipped with an action of a finite group. We show that the fixed points of this spectrum admit a tom Dieck-type splitting. We also show that this splitting is compatible with the splitting of the equivariant suspension spectrum. The first of these results has been obtained independently by John Rognes. 
Bernard Badzioch and Wojciech Dorabiala
math.KT