Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory

DOI10.1007/BF02101555zbMath0823.46064MaRDI QIDQ1894837

Colin E. Sutherland, Iain Raeburn, Hendrik B. G. S. Grundling, Alan L. Carey

Publication date: 3 August 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebragroup extensions3-cocycleanomalous gauge field theoriescocycles on gauge groupstwisted covariant representation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Model quantum field theories (81T10) Noncommutative dynamical systems (46L55)

Related Items (4)

Third group cohomology and gerbes over Lie groups ⋮ Quantum constraints ⋮ SOME C*-ALGEBRAS ASSOCIATED TO QUANTUM GAUGE THEORIES ⋮ Remarks on anomalous symmetries of \(C^*\)-algebras

Cites Work

• The quantum theory of second class constraints: Kinematics
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• Chiral anomalies in even and odd dimensions
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• Algebraic quantization of systems with gauge degeneracy
• Cohomologie et groupe de Steinberg rélatifs
• On the Mickelsson-Faddeev extension and unitary representations
• Topological invariants associated with the spectrum of crossed product \(C^*\)-algebras
• Symmetry groups and non-abelian cohomology
• Crossed Products of Continuous-Trace C ∗ -Algebras by Smooth Actions
• Pull-Backs of C ∗ -Algebras and Crossed Products by Certain Diagonal Actions
• Group extensions, crossed pairs and an eight term exact sequence.
• Crossed Extensions
• Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
• Twisted crossed products of C*-algebras
• Group Extensions and Cohomology for Locally Compact Groups. III
• The Connes spectrum for actions of Abelian groups on continuous-trace algebras
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