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

Giuseppe Ruzzi; Ezio Vasselli

doi:10.1007/s00220-012-1579-8

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arXiv · 1104.3527

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

Giuseppe Ruzzi·Ezio Vasselli

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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).

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Giuseppe Ruzzi, Ezio Vasselli. 2011-04-18. Representations of nets of C*-algebras over S^1. https://doi.org/10.1007/s00220-012-1579-8

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