An index for continuous semigroups of *-endomorphisms of \({\mathfrak B}({\mathfrak H})\)

DOI10.1016/0022-1236(89)90111-0zbMath0687.47035OpenAlexW2094365678MaRDI QIDQ1263070

Derek W. Robinson, Robert T. Powers

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90111-0

zbMATH Keywords

canonical anticommutation relationsindex of continuous semigroups of *-endomorphisms

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (13)

Remarks on CCR and CAR flows over closed convex cones ⋮ A duality for endomorphisms of von Neumann algebras ⋮ Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\) ⋮ CAR flows on type III factors and their extendability ⋮ Invariants for \(E_{0}\)-semigroups on II\(_{1}\) factors ⋮ Decomposability of multiparameter car flows ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ An Index Theory For Quantum Dynamical Semigroups ⋮ Discrete product systems and their \(C^*\)-algebras ⋮ Index theory and second quantization of boundary value problems ⋮ Continuous analogues of Fock space. IV: Essential states ⋮ Continuous analogues of Fock space. II. The spectral \(C^*\)-algebra ⋮ NEW EXAMPLES OF CONTINUOUS SPATIAL SEMIGROUPS OF *-ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$

Cites Work

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• Complete Boolean algebras of type I factors

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