Abstract
The local generators of symmetry transformations which have recently been constructed from a quantum field theoretical version of Noether's theorem are shown to converge to the global ones as the volume tends to the whole space. The proof relies on the continuous volume dependence of the universal localizing maps which are associated to the local splitW*-inclusions.
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Communicated by R. Haag
Research supported by Ministero della Pubblica Istruzione and CNR-GNAFA
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D'Antoni, C., Doplicher, S., Fredenhagen, K. et al. Convergence of local charges and continuity properties ofW*-inclusions. Commun.Math. Phys. 110, 325–348 (1987). https://doi.org/10.1007/BF01207372
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DOI: https://doi.org/10.1007/BF01207372