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Morphisms, hemimorphisms, and baer*-semigroups

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Abstract

The relationship between CROCs (complete orthomodular lattices) and complete Baer*-semigroups is discussed using an explicit construction of the adjoint of a hemimorphism. Simple examples provide much insight into the structures involved.

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References

  1. Foulis, D. J. (1960).Proceedings of the American Mathematical Society,11, 648.

  2. Piron, C. (1976).Foundations of Quantum Physics, Benjamin, Reading, Massachusetts.

  3. Pool, J. C. T. (1968).Communications in Mathematical Physics,9, 118.

  4. Von Neumann, J. (1950).Functional Operators, Vol. II.The Geometry of Orthogonal Spaces, Princeton University Press, Princeton, New Jersey.

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Piron, C. Morphisms, hemimorphisms, and baer*-semigroups. Int J Theor Phys 34, 1681–1687 (1995). https://doi.org/10.1007/BF00676281

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Explicit Construction
  • Orthomodular Lattice