The following paper is about how a K-flow is produced from a K-induced map, but it is written in Russian. Does someone know where to find its English version? Do some textbooks include this topic? Thanks!
Certain conditions for the existence of K-decompositions for special flowsB. Gurevič, Certain conditions for the existence of K-decompositions for special flows, Tr. Mosk. Mat. Obs., 1967, Volume 17, Pages 89–116
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mmo&paperid=192&option_lang=eng.