Extensions of unbounded *-derivations in UHF C*-algebras

DOI10.1016/0022-1236(82)90010-6zbMath0486.46044OpenAlexW2054294095MaRDI QIDQ1164832

Palle E. T. Jorgensen

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90010-6

zbMATH Keywords

AF-algebrasconditional expectations onto the finite type I factorsexistence of extension derivationextendability problem for quasi-free derivations in the CAR-algebrainfinitesimal generator of a strongly continuous one-parameter group of *-automorphismsstrongly continuous semigroups of *-homomorphismsUHF-C*-algebrasunbounded *-derivationsweak-commutativity conditions

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (8)

On a necessary condition for a generator ⋮ Unnamed Item ⋮ Unbounded derivations tangential to compact groups of automorphisms ⋮ Index theory and second quantization of boundary value problems ⋮ A remark on extensions of quasi-free derivations on the CAR-algebra ⋮ Extensions of quasi-free derivations on the CAR algebra ⋮ Extension of derivations in the algebra of compact operators ⋮ Unbounded derivations tangential to compact groups of automorphisms. II

Cites Work

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• On the adjoint semigroup and some problems in the theory of approximation
• Dissipative operators in a Banach space
• On invariant states and the commutant of a group of quasi-free automorphisms of the CAR algebra
• Completely positive quasi-free maps on the CAR algebra
• Unbounded derivations commuting with compact group actions
• Automorphisms and quasi-free states fo the CAR algebra
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations

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