Abstract
This Chapter collects the most important concepts and some of the representative propositions concerning Bell’s inequalities in the general \(C^*\)-algebraic setting and in the special LPT framework.
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Notes
- 1.
The commuting pair \((\mathcal A,\mathcal B)\) of \(C^*\)-subalgebras in \(\mathcal C\) obeys the Schlieder property, if \(0\not = A\in \mathcal A\) and \(0\not = B\in \mathcal B\), then \(AB\not =0\). Because in the case of von Neumann algebras A and B can be required to be projections, the Schlieder property is the analogue of logical independence in classical logic.
- 2.
The center contains no finite projections.
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Hofer-Szabó, G., Vecsernyés, P. (2018). Bell’s Inequalities. In: Quantum Theory and Local Causality. SpringerBriefs in Philosophy. Springer, Cham. https://doi.org/10.1007/978-3-319-73933-5_6
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DOI: https://doi.org/10.1007/978-3-319-73933-5_6
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