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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The second author was supported by Research and Development Support Agency under the contract No. APVV-0178-11 and grant VEGA 2/0059/12.
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Foulis, D.J., Pulmannová, S. Type-Decomposition of a Synaptic Algebra. Found Phys 43, 948–968 (2013). https://doi.org/10.1007/s10701-013-9727-3
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DOI: https://doi.org/10.1007/s10701-013-9727-3