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In the first part of this talk we discussed the Spectral Theorem in both operator version and C*-algebra version as well as the history of the subject until the beginning of the 20th Century. In this second part,we will continue the history until the middle of the 20th Century and then we will talk about the two articles of Naimark that triggered the interest in dilations, the two noncommutative generalizations of B. Sz.-Nagy and W.F. Stinespring that actually showed the depth and the power of this theory, a few applications, and the relation between the linear and the nonlinear paths.