Topological comparison theorems for Bredon motivic cohomology
  We prove equivariant versions of the Beilinson-Lichtenbaum conjecture for Bredon motivic cohomology of smooth complex and real varieties with an action of the group of order two. This identifies equivariant motivic and topological invariants in a large range of degrees. 
Jeremiah Heller, Mircea Voineagu, and Paul Arne Ostvaer
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