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Type-Decomposition of a Synaptic Algebra

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, 1 Sutton Court, Amherst, MA, 01002, USA

    David J. Foulis

  2. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Sylvia Pulmannová

Authors
  1. David J. Foulis
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  2. Sylvia Pulmannová
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Corresponding author

Correspondence to David J. Foulis.

Additional information

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

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