# Representations of nets of $C^*$-algebras over $S^1$

April 18, 2011

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 of 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$(S^1)$.

open access link
doi:10.1007/s00220-012-1579-8

@article{Ruzzi:2011an,
author = "Ruzzi, Giuseppe and Vasselli, Ezio",
title = "{Representations of nets of C*-algebras over S^1}",
journal = "Commun. Math. Phys.",
volume = "316",
year = "2012",
pages = "127-149",
doi = "10.1007/s00220-012-1579-8",
eprint = "1104.3527",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1104.3527;%%"
}

Keywords:

Superselection Theory, conformal qft