This is an announcement for the paper "A disintegration theorem" by Marek Kosiek and Krzysztof Rudol. Abstract: A new approach to disintegration of measures is presented, allowing one to drop the usually taken separability assumption. The main tool is a result on fibers in the spectrum of algebra of essentially bounded functions established recently by the first-named author. Archive classification: math.FA Mathematics Subject Classification: Primary: 28A50, Secondary: 46J10 Remarks: 3 pages Submitted from: Marek.Kosiek@im.uj.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.0255 or http://arXiv.org/abs/1103.0255