## MAURO SPERA

### Professore ordinario

Facoltà di SCIENZE MATEMATICHE, FISICHE E NATURALI

Sede di  Brescia

Dipartimento di Matematica e fisica - Niccolò Tartaglia

# Representations Obeying the Spectrum Condition

#### Springer

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.