Modular Theory in Operator Algebras

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Title: Modular Theory in Operator Algebras
Description: The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.
Authors: Şerban Valentin Strătilă
Resource Type: eBook.
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
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PubTypeId: ebook
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  Data: Modular Theory in Operator Algebras
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  Data: The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.
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  Data: <searchLink fieldCode="AR" term="%22Şerban+Valentin+Strătilă%22">Şerban Valentin Strătilă</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Abstract%22">MATHEMATICS / Algebra / Abstract</searchLink>
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    Languages:
      – Code: eng
        Text: English
    Titles:
      – TitleFull: Modular Theory in Operator Algebras
        Type: main
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          Name:
            NameFull: Şerban Valentin Strătilă
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          Name:
            NameFull: Şerban Valentin Strătilă
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
          Identifiers:
            – Type: isbn-print
              Value: 9781108489607
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              Value: 9781108966771
          Titles:
            – TitleFull: Modular Theory in Operator Algebras
              Type: main
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