For any discrete group G, for any G-set Z and for any unital C*-algebra A, the Bernoulli shifts G-action on the (minimal) tensor product of A over Z can be defined naturally. In a joint work with Sayan Chakraborty, Siegfried Echterhoff and Julian Kranz, we developed a new technique in operator K-theory to study the K-theory of the reduced crossed product of the Bernoulli shifts G-actions, assuming the Baum-Connes conjecture with coefficients for G. In this talk, I aim to describe this technique and some of our main results.