We characterize the automorphisms of a C*-algebra A which extend to automorphisms of the crossed product B of A by a compact group dual. The case where the inclusion A subset-of B 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.

Buchholz, D., Doplicher, S., Longo, R., Roberts, J.e. (1993). Extensions of automorphisms and gauge symmetries. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 155(1), 123-134 [10.1007/BF02100053].

Extensions of automorphisms and gauge symmetries

LONGO, ROBERTO;
1993-01-01

Abstract

We characterize the automorphisms of a C*-algebra A which extend to automorphisms of the crossed product B of A by a compact group dual. The case where the inclusion A subset-of B 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.
1993
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
PARTICLE STATISTICS; LOCAL OBSERVABLES; COMPACT-GROUPS; ALGEBRAS; DUALITY; STATES
Buchholz, D., Doplicher, S., Longo, R., Roberts, J.e. (1993). Extensions of automorphisms and gauge symmetries. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 155(1), 123-134 [10.1007/BF02100053].
Buchholz, D; Doplicher, S; Longo, R; Roberts, Je
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/54274
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