On invariant states and the commutant of a group of quasi-free automorphisms of the CAR algebra

DOI10.1016/0034-4877(79)90048-XzbMath0418.46051OpenAlexW2079053355MaRDI QIDQ1131676

Akitaka Kishimoto

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90048-x

zbMATH Keywords

von Neumann algebracommutantself-adjoint operatorsinvariant statesCar algebrafinite type I factor direct summandsgroup of quasi-free automorphismsone-particle Hilbert space

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Master symmetries of the XY model, On invariant states and the commutant of a group of quasi-free automorphisms of the CAR algebra. II, Extensions of unbounded *-derivations in UHF C*-algebras

Cites Work

• On the groups isomorphism of unitary groups in \(AW^*\)-algebras
• Automorphisms and quasi-free states fo the CAR algebra
• Free states and automorphisms of the Clifford algebra
• Free states of the canonical anticommutation relations
• States and automorphism groups of operator algebras
• The unitary structure in finite rings of operators