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user 318
7
votes
Accepted
Detailed proof of $\mathfrak{s}^{-1}\mathrm{End}_V\cong \mathrm{End}_{\Sigma V}$
Your actual Question has nothing to do with operads. Perhaps it is clarifying to consider the following more general setting: let $G$ be a group, $X$ and $Y$ be right $G$-sets, and $f : X \to Y$ be a …
- 18.2k
6
votes
Accepted
group actions on fibre bundles
No. let $F$ have a $G$-action, take $B=EG$ and $E=EG \times F$ with the diagonal action. Then $\eta$ is the Borel construction $EG \times_G F \to BG$ so need not be trivial.
- 18.2k
8
votes
Fixed point of $S^1$-action using roots of unity
Not quite your question, but I'll say it anyway.
The "fixed-points of actions on a $p$-acyclic space are $p$-acyclic" part of Smith theory easily extends to arbitrary $p$-groups. By induction on the …
- 18.2k