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Extensions of automorphisms and gauge symmetries

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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.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, D-22761, Hamburg, Germany

    Detlev Buchholz

  2. Dipartimento di Matematica, Università di Roma “La Sapienza”, I-00185, Roma, Italy

    Sergio Doplicher

  3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, I-00133, Roma, Italy

    Roberto Longo & John E. Roberts

Authors
  1. Detlev Buchholz
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  2. Sergio Doplicher
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  3. Roberto Longo
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  4. John E. Roberts
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Additional information

Communicated by A. Jaffe

Dedicated to Huzihiro Araki

Research supported by MURST and CNR, GNAFA

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Buchholz, D., Doplicher, S., Longo, R. et al. Extensions of automorphisms and gauge symmetries. Commun.Math. Phys. 155, 123–134 (1993). https://doi.org/10.1007/BF02100053

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  • DOI: https://doi.org/10.1007/BF02100053

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