Representations of nets of C*-algebras over S^1
Mathematical Physics
2015-05-27 v1 High Energy Physics - Theory
math.MP
Operator Algebras
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 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).
Keywords
Cite
@article{arxiv.1104.3527,
title = {Representations of nets of C*-algebras over S^1},
author = {Giuseppe Ruzzi and Ezio Vasselli},
journal= {arXiv preprint arXiv:1104.3527},
year = {2015}
}