Representations Obeying the Spectrum Condition

Mauro Spera, Sergio Doplicher

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)505-513
Numero di pagine9
RivistaCommunications in Mathematical Physics
Volume84
Stato di pubblicazionePubblicato - 1982

Keywords

  • von Neumann algebras, algebraic quantum field theory, spectrum condition

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