A Modified Approach to the Doplicher/Roberts Theorem on the Construction of the Field Algebra and the Symmetry Group in Superselection Theory

DOI10.1142/S0129055X97000105zbMath0878.46047OpenAlexW2007565902MaRDI QIDQ4342168

Hellmut Baumgärtel

Publication date: 3 July 1997

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

Full work available at URL: https://doi.org/10.1142/s0129055x97000105

zbMATH Keywords

orthonormal basissymmetry groupfield algebrafixed point algebrastatistical dimension\(C^*\)-normbimodule structure\(*\)-structuretensorial category of unital endomorphismsunital \(C^*\)-algebra with trivial center

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of selfadjoint operator algebras to physics (46L60) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Automorphisms of selfadjoint operator algebras (46L40)

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DUALITY OF COMPACT GROUPS AND HILBERT C*-SYSTEMS FOR C*-ALGEBRAS WITH A NONTRIVIAL CENTER ⋮ Superselection in the presence of constraints

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