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The tom Dieck splitting theorem in equivariant motivic homotopy theory (1910.11485v1)
Published 25 Oct 2019 in math.AT
Abstract: We establish, in the setting of equivariant motivic homotopy theory for a finite group, a version of tom Dieck's splitting theorem for the fixed points of a suspension spectrum. Along the way we establish structural results and constructions for equivariant motivic homotopy theory of independent interest. This includes geometric fixed point functors and the motivic Adams isomorphism.