2 problems

Multiplicative tom Dieck splitting conjecture. There exists a multiplicative structure $\Xi$ such that $\Xi$-algebras are in particular $G$-$E_{\infty}$ algebras and, in the augmen…

Let $G$ be a group, let $X$ be a $G$-space, and let $\Sigma^\infty_+X$ denote its associated quasifinitely genuine $G$-spectrum. For each cofinite subgroup $K$ of $G$, let $X^K$ be…