The $RO(\Pi B)$-graded $C_2$-equivariant ordinary cohomology of $B_{C_2}U(1)$

Steven R. Costenoble

We calculate the ordinary $C_2$-cohomology, with Burnside ring coefficients, of $C{P}_{C_2}^{\infty }=B_{C_2}U(1)$, the complex projective space, a model for the classifying space fo…