Let $G$ be a finite group. I wonder whether the following statement is true, known and written down:


There is a t-structure on the stable $G$-equivariant homotopy category such that the associated heart is isomorphic to the category of Mackey functors (on $B\_G$).


I feel like someone has told me so, but I can't find a reference. Thanks for your help!



A heart for stable equivariant homotopy theory
Since G is finite, there is no problem with just repeating the proof in the 
case $G=e$, using $Z$-graded homotopy group functors on the orbit category. Take
$D^{\leq n}$ to be the spectra whose homotopy groups $\pi\_q(X^H)$ are zero for $q>n$, 
and dually for $D^{\geq n}$. The intersection for $n\leq 0$ and $n\geq 0$ consists 
of the Eilenberg-MacLane $G$-spectra $K(M,0)$ for Mackey functors $M$. 


Peter May


