Extensions of automorphisms and gauge symmetries |
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| Authors: | Detlev Buchholz Sergio Doplicher Roberto Longo John E Roberts |
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| Institution: | (1) II. Institut für Theoretische Physik, Universität Hamburg, D-22761 Hamburg, Germany;(2) Dipartimento di Matematica, Università di Roma  La Sapienza , I-00185 Roma, Italy;(3) Dipartimento di Matematica, Università di Roma Tor Vergata, I-00133 Roma, Italy |
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| Abstract: | We characterize the automorphisms of aC
*-algebra which extend to automorphisms of the crossed product by a compact group dual. The case where the inclusion is equipped with a group of automorphisms commuting with the dual action is also treated. These results are applied to the analysis of broken gauge symmetries in Quantum Field Theory to draw conclusions on the structure of the degenerate vacua on the field algebra.Dedicated to Huzihiro ArakiResearch supported by MURST and CNR, GNAFA |
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