Wakamatsu's equivalence revisited
  For a certain Wakamatsu-tilting bimodule over two artin algebras $A$ and $B$, Wakamatsu constructed an explicit equivalence between the stable module categories over the trivial extension algebra of $A$ and that of $B$. We prove that Wakamatsu's functor is a triangle functor, thus a triangle equivalence. 
Xiao-Wu Chen, Jiaqun Wei
math.RT math.RA