02967nam 22007455 450 991014630740332120250731082152.03-540-49495-210.1007/BFb0093329(CKB)1000000000437313(SSID)ssj0000327269(PQKBManifestationID)12061308(PQKBTitleCode)TC0000327269(PQKBWorkID)10301429(PQKB)10240779(DE-He213)978-3-540-49495-9(MiAaPQ)EBC5590910(Au-PeEL)EBL5590910(OCoLC)1066186613(MiAaPQ)EBC6842073(Au-PeEL)EBL6842073(PPN)15519898X(EXLCZ)99100000000043731320121227d1998 u| 0engurnn|008mamaatxtccrTomita-Takesaki Theory in Algebras of Unbounded Operators /by Atsushi Inoue1st ed. 1998.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1998.1 online resource (VIII, 244 p.) Lecture Notes in Mathematics,1617-9692 ;1699Bibliographic Level Mode of Issuance: Monograph3-540-65194-2 Includes bibliographical references and index.Fundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications.These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics.Lecture Notes in Mathematics,1617-9692 ;1699AlgebraOperator theoryQuantum theorySpintronicsAlgebraOperator TheoryQuantum PhysicsSpintronicsAlgebra.Operator theory.Quantum theory.Spintronics.Algebra.Operator Theory.Quantum Physics.Spintronics.512.55Inoue Atsushi1944-62024MiAaPQMiAaPQMiAaPQBOOK9910146307403321Tomita-Takesaki theory in algebras of unbounded operators262423UNINA