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  1. Independent quantum systems and the associativity of the product of quantum observables.Klaus Fredenhagen - 2019 - Philosophical Problems in Science 66:61-72.
    We start from the assumption that the real valued observables of a quantum system form a Jordan algebra which is equipped with a compatible Lie product characterizing infinitesimal symmetries, and ask whether two such systems can be considered as independent subsystems of a larger system. We show that this is possible if and only if the associator of the Jordan product is a fixed multiple of the associator of the Lie product. In this case it is known that the two (...)
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