Torus Actions and the Halperin-Carlsson Conjecture
  We give an affirmative answer to the Halperin-Carlsson conjecture for the homologically injective torus actions on closed manifolds.   This class contains holomorphic torus actions on compact Kahler manifolds, torus actions on compact Riemannian flat manifolds. 
Y. Kamishima and M. Nakayama
math.GT