Sequential Product Spaces are Jordan Algebras.

@article{Wetering2018SequentialPS,
  title={Sequential Product Spaces are Jordan Algebras.},
  author={J. V. D. Wetering},
  journal={arXiv: Quantum Physics},
  year={2018}
}
We show that finite-dimensional order unit spaces equipped with a continuous sequential product as defined by Gudder and Greechie are homogeneous and self-dual. As a consequence of the Koecher-Vinberg theorem these spaces therefore correspond to Euclidean Jordan algebras. We remark on the significance of this result in the context of reconstructions of quantum theory. In particular, we show that sequential product spaces that have locally tomographic tensor products, i.e. their vector space… Expand
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