Abstract
We show that every properly infinite, injective von Neumann algebra acting on a separable Hilbert space is isomorphic to the weak closure of some translation covariant representation, obeying the spectrum condition for the generators of the translation group, of theC*-algebra of quasilocal observables of a free massless spinor field. We construct explicitly such representations in the case ofII ∞ andIII λ factors, 0<λ<1.
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Communicated by R. Haag
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Doplicher, S., Spera, M. Representations obeying the spectrum condition. Commun.Math. Phys. 84, 505–513 (1982). https://doi.org/10.1007/BF01209631
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DOI: https://doi.org/10.1007/BF01209631