2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65476Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II-0 and III are constructed by probabilistic means (random sets and off-white noises), answering four questions of W. Arveson. Results of math.FA/0001070, math.FA/0006165 are improved, and proofs are more readable.70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)Functional AnalysisOperator AlgebrasProbability46L55; 60A10, 60G15, 60G20, 60G30text