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scientific article; zbMATH DE number 913566
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scientific article; zbMATH DE number 913566

    Statements

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    6 August 1996
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    linear spaces
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    basics of Hilbert space and linear operators
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    Banach algebras
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    elementary \(C^*\)-algebra theory
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    elementary von Neumann algebra theory
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    comparison of projections
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    normal states
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    unitary equivalence
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    trace
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    commutant
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    representations of \(C^*\)-algebras
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    tensor products
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    approximation by matrix algebras
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    direct integrals
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    decompositions
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    fundamental group of a type \(\text{II}_ 1\) matricial hyperfinite factor
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    infinite tensor products
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    ultraproducts
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    Jordan homomorphisms
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    completely positive maps
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    Stinespring's Theorem
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    modular operator
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    monotone closure
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    strong operator continuous functions
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    nuclear \(C^*\)-algebras
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    geometry of unitary operators
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    Dauns-Hofmann theorem
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    CAR algebras
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    matricial \(C^*\)-algebras
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    crossed products
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