A COMPLETE SET OF ISOMETRIC IMPLEMENTERS FOR A QUASI-FREE ENDOMORPHISM OF THE CAR ALGEBRA VIA UNITARY DILATIONS

DOI10.1142/S0129167X02001526zbMath1057.46043OpenAlexW2148949976MaRDI QIDQ4807424

Michael J. Gabriel

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x02001526

zbMATH Keywords

CAR algebraisometric implementersquasi-free automorphism

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Dilations, extensions, compressions of linear operators (47A20) Special classes of linear operators (47B99)

Cites Work

• Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
• Completely positive quasi-free maps on the CAR algebra
• Dissipators for symmetric quasi-free dynamical semigroups on the CAR algebra
• Implementation of automorphisms and derivations of the CAR-algebra
• Simple \(C^*\)-algebras generated by isometries
• On quasifree states of CAR and Bogoliubov automorphisms
• IMPLEMENTATION OF ENDOMORPHISMS OF THE CAR ALGEBRA

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