Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras

We define a new approximation property for tracial von Neumann algebras, called $\mathit{\text{weakly}}\mathit{\text{mixing}}\mathit{\text{approximation}}\mathit{\text{property}}$ which, for discrete groups and II${}_1$ factors, is equivalent to the negation of Kazhdan’s property (T).