Representations of Nets of C*-Algebras over S 1 |
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Authors: | Giuseppe Ruzzi Ezio Vasselli |
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Affiliation: | 1. Dipartimento di Matematica, Universit?? di Roma ??Tor Vergata??, Via della Ricerca Scientifica, 00133, Roma, Italy 2. Dipartimento di Matematica, Universit?? di Roma ??La Sapienza??, Piazzale Aldo Moro 5, 00185, Roma, Italy
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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 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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