Abstract
After briefly putting algebraic quantum theory into the context of a probabilistic interpretation with emphasis on local measurements, certain general features of the theory are examined. Sectors are defined and shown to be the components of the pure state space in the norm topology. Transition probabilities are defined by a simple algebraic formula and it is shown how superpositions of pure states may be defined. With the aid of these results, symmetries are characterized and the connexion with Wigner's Theorem is established.
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Roberts, J.E., Roepstorff, G. Some basic concepts of algebraic quantum theory. Commun.Math. Phys. 11, 321–338 (1969). https://doi.org/10.1007/BF01645853
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DOI: https://doi.org/10.1007/BF01645853