# The three types of normal sequential effect algebras

@article{Westerbaan2020TheTT,
title={The three types of normal sequential effect algebras},
author={Abraham Westerbaan and Bas Westerbaan and John van de Wetering},
journal={Quantum},
year={2020},
volume={4},
pages={378}
}
• Published 27 April 2020
• Mathematics
• Quantum
A sequential effect algebra (SEA) is an effect algebra equipped with a sequential product operation modeled after the Lüders product (a,b)↦aba on C∗-algebras. A SEA is called normal when it has all suprema of directed sets, and the sequential product interacts suitably with these suprema. The effects on a Hilbert space and the unit interval of a von Neumann or JBW algebra are examples of normal SEAs that are in addition convex, i.e. possess a suitable action of the real unit interval on the…
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