On the rational $C_2$-homotopy type of ${BS{U}_{\mathbb{R}}}_m$

Abstract

Motivated by a problem in motivic homotopy theory considered by Asok-Fasel-Hopkins, we give a description of the rational $C_2$-equivariant homotopy type of the classifying space ${BS{U}_{\mathbb{R}}}_m$ in terms of equivariant Eilenberg-Maclane spaces.

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