Tomita-Takesaki Theory in Algebras of Unbounded Operators / / by Atsushi Inoue
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| Autore: |
Inoue Atsushi <1944->
|
| Titolo: |
Tomita-Takesaki Theory in Algebras of Unbounded Operators / / by Atsushi Inoue
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Edizione: | 1st ed. 1998. |
| Descrizione fisica: | 1 online resource (VIII, 244 p.) |
| Disciplina: | 512.55 |
| Soggetto topico: | Algebra |
| Operator theory | |
| Quantum theory | |
| Spintronics | |
| Operator Theory | |
| Quantum Physics | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Fundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Tomita-Takesaki theory in algebras of unbounded operators |
| ISBN: | 3-540-49495-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910146307403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 1617-9692 ; ; 1699