CAR flows on type III factors and their extendability

DOI10.1142/S021902571450026XzbMath1318.46043arXiv1304.4341OpenAlexW2964245393MaRDI QIDQ2937041

Panchugopal Bikram

Publication date: 7 January 2015

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4341

zbMATH Keywords

factorsequimodularnoncommutative probability\(E_{0}\)-semigroups\(\ast\)-endomorphismsCCR flows CAR flowssuper product systems

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)

Related Items (3)

E₀-semigroups of free Araki-Woods factors ⋮ Operator algebras in India in the past decade ⋮ Cohomology for spatial superproduct systems

Cites Work

• Invariants for \(E_{0}\)-semigroups on II\(_{1}\) factors
• An index for continuous semigroups of *-endomorphisms of \({\mathfrak B}({\mathfrak H})\)
• On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra
• Regular semigroups of endomorphisms of von Neumann factors
• Free states of the canonical anticommutation relations
• INCLUSION SYSTEMS AND AMALGAMATED PRODUCTS OF PRODUCT SYSTEMS
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.
• ON EXTENDABILITY OF ENDOMORPHISMS AND OF E0-SEMIGROUPS ON FACTORS
• A classification of factors

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