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- W2128279033 abstract "Let [Formula: see text] be the class of all algebraic probability spaces. A natural product is, by definition, a map [Formula: see text] which is required to satisfy all the canonical axioms of Ben Ghorbal and Schürmann for universal product except for the commutativity axiom. We show that there exist only five natural products, namely tensor product, free product, Boolean product, monotone product and anti-monotone product. This means that, in a sense, there exist only five universal notions of stochastic independence in noncommutative probability theory." @default.
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- W2128279033 date "2003-09-01" @default.
- W2128279033 modified "2023-10-01" @default.
- W2128279033 title "THE FIVE INDEPENDENCES AS NATURAL PRODUCTS" @default.
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- W2128279033 doi "https://doi.org/10.1142/s0219025703001365" @default.
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