Abstract. The purpose of this paper is to give a clean formulation and proof of Rohlin's Disintegration. Theorem (Rohlin
CONDITIONAL MEASURES AND CONDITIONAL EXPECTATION; ROHLIN’S DISINTEGRATION THEOREM DAVID SIMMONS
Discrete Contin. Dyn. Syst. 32 (2012), no. 7, 2565–2582 Abstract. The purpose of this paper is to give a clean formulation and proof of Rohlin’s Disintegration Theorem (Rohlin ’52). Another (possible) proof can be found in Maharam (’83). Note also that our statement of Rohlin’s Disintegration Theorem is more general than the statement in either Rohlin or Maharam in that X is allowed to be any universally measurable space, and Y is allowed to be any subspace of standard Borel space.
