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 the C*-algebra of quasilocal observables of a free massless spinor field. We construct explicitly such representations in the case of II_{\infty} and III_λ factors, 0 < λ < 1.

Doplicher, S., Spera, M., Representations Obeying the Spectrum Condition, <<COMMUNICATIONS IN MATHEMATICAL PHYSICS>>, N/A; 84 (N/A): 505-513 [http://hdl.handle.net/10807/36100]

Representations Obeying the Spectrum Condition

Spera, Mauro
1982

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 the C*-algebra of quasilocal observables of a free massless spinor field. We construct explicitly such representations in the case of II_{\infty} and III_λ factors, 0 < λ < 1.
1982
Inglese
Doplicher, S., Spera, M., Representations Obeying the Spectrum Condition, <<COMMUNICATIONS IN MATHEMATICAL PHYSICS>>, N/A; 84 (N/A): 505-513 [http://hdl.handle.net/10807/36100]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/36100
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