In recent times a new kind of representations has been used to describe superselection sectors of the observable net over a curved spacetime, taking into account the effects of the fundamental group of the spacetime. Using this notion of representation, we prove that any net of C-*-algebras over S (1) admits faithful representations, and when the net is covariant under Diff(S (1)), it admits representations covariant under any amenable subgroup of Diff(S (1)).

Ruzzi, G., Vasselli, E. (2012). Representations of Nets of C-*-Algebras over S (1). COMMUNICATIONS IN MATHEMATICAL PHYSICS, 316(1), 127-149 [10.1007/s00220-012-1579-8].

Representations of Nets of C-*-Algebras over S (1)

RUZZI, GIUSEPPE;
2012-01-01

Abstract

In recent times a new kind of representations has been used to describe superselection sectors of the observable net over a curved spacetime, taking into account the effects of the fundamental group of the spacetime. Using this notion of representation, we prove that any net of C-*-algebras over S (1) admits faithful representations, and when the net is covariant under Diff(S (1)), it admits representations covariant under any amenable subgroup of Diff(S (1)).
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
Ruzzi, G., Vasselli, E. (2012). Representations of Nets of C-*-Algebras over S (1). COMMUNICATIONS IN MATHEMATICAL PHYSICS, 316(1), 127-149 [10.1007/s00220-012-1579-8].
Ruzzi, G; Vasselli, E
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
s1-CMP-definitiv.pdf

solo utenti autorizzati

Descrizione: articolo principale
Licenza: Copyright dell'editore
Dimensione 328.44 kB
Formato Adobe PDF
328.44 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/2108/89954
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact