论文标题
Segal猜想的粉碎力量
The Segal conjecture for smash powers
论文作者
论文摘要
We prove that the comparison map from $G$-fixed points to $G$-homotopy fixed points, for the $G$-fold smash power of a bounded below spectrum $B$, becomes an equivalence after $p$-completion if $G$ is a finite $p$-group and $H_*(B; F_p)$ is of finite type.我们还证明，如果$ g $是任何有限的组，而$π_*（b）$是有限类型的$ i（g）$ - 完成后的地图，则$ i（g）$是伯恩赛德环中的增强理想。
We prove that the comparison map from $G$-fixed points to $G$-homotopy fixed points, for the $G$-fold smash power of a bounded below spectrum $B$, becomes an equivalence after $p$-completion if $G$ is a finite $p$-group and $H_*(B; F_p)$ is of finite type. We also prove that the map becomes an equivalence after $I(G)$-completion if $G$ is any finite group and $π_*(B)$ is of finite type, where $I(G)$ is the augmentation ideal in the Burnside ring.
