Type-Decomposition of a Synaptic Algebra

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Foundations of Physics 43 (8):948-968 (2013)
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Abstract

A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. In this article we extend to synaptic algebras the type-I/II/III decomposition of von Neumann algebras, AW∗-algebras, and JW-algebras

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10.1007/s10701-013-9727-3

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Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead).Miklos Rédei - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (4):493-510.
Type-Decomposition of an Effect Algebra.David J. Foulis & Sylvia Pulmannová - 2010 - Foundations of Physics 40 (9-10):1543-1565.

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