The C2-equivariant ordinary cohomology of BT2

Abstract

We calculate the ordinary C-2-cohomology of BT2 with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to that of BT1 and BU(2), calculated previously, both relationships being more complicated than in the nonequivariant case.