Question

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What is the equivariant cohomology of a group acting on itself by conjugation?

Let $G$ be a compact Lie group. Where can one read about the equivariant cohomology $H_G^*(G)$, where $G$ acts on itself by the adjoint action? A study of a concrete example (like SU(2)) would already be useful for me. Thanks!

Answer 1

This question has already been asked (and answered) here http://mathoverflow.net/questions/20671/what-is-the-equivariant-cohomology-of-a-group-acting-on-itself-by-conjugation