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arxiv: 1307.4201 · v1 · pith:QVZSPKJ4new · submitted 2013-07-16 · 🧮 math.OA

Effect algebras with state operator

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keywords algebraseffectconvexsensestatealgebraicconditionalexpectations
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State operators on convex effect algebras, in particular effect algebras of unital JC-algebras, JW-algebras and convex sigma-MV algebras are studied and their relations with conditional expectations in algebraic sense as well as in the sense of probability on MV-algebras are shown.

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