We show that every properly infinite, injective von Neumann algebra acting on a separable Hubert 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 11 ^ and IIIλ factors, 0 < λ < 1.

Representations obeying the spectrum condition

SPERA, Mauro
1982-01-01

Abstract

We show that every properly infinite, injective von Neumann algebra acting on a separable Hubert 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 11 ^ and IIIλ factors, 0 < λ < 1.
1982
von Neumann algebras; algebraic quantum field theory; spectrum condition
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/393115
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact