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Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.
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When can the trace on cohomology be computed as the Euler characteristic of fixed points?
In this question all groups are finite, and all spaces are nice (eg, simplicial sets).
Given a $G$ space $X$, which we assume has finitely many nonzero cohomology groups, we can compute the trace of a …