Operator algebras in dynamical systems: the theory of unbounded derivations in C*-algebras
This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitio...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1991
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| Series: | Encyclopedia of mathematics and its applications
volume 41 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xi, 219 pages) |
| ISBN: | 9780511662218 |
| DOI: | 10.1017/CBO9780511662218 |
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| 520 | |a This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states | ||
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| id | DE-604.BV043942070 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511662218 |
| language | English |
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| spelling | Sakai, Shôichirô 1928- Verfasser aut Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras Shôichirô Sakai Cambridge Cambridge University Press 1991 1 online resource (xi, 219 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 41 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states C*-algebras Differentiable dynamical systems Harmonic analysis Operator theory C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Differenzierbares dynamisches System (DE-588)4137931-7 s 1\p DE-604 Harmonische Analyse (DE-588)4023453-8 s 2\p DE-604 Operatoralgebra (DE-588)4129366-6 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-06021-9 Erscheint auch als Druckausgabe 978-0-521-40096-1 https://doi.org/10.1017/CBO9780511662218 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sakai, Shôichirô 1928- Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras C*-algebras Differentiable dynamical systems Harmonic analysis Operator theory C-Stern-Algebra (DE-588)4136693-1 gnd Operatoralgebra (DE-588)4129366-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4136693-1 (DE-588)4129366-6 (DE-588)4023453-8 (DE-588)4137931-7 |
| title | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras |
| title_auth | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras |
| title_exact_search | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras |
| title_full | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras Shôichirô Sakai |
| title_fullStr | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras Shôichirô Sakai |
| title_full_unstemmed | Operator algebras in dynamical systems the theory of unbounded derivations in C*-algebras Shôichirô Sakai |
| title_short | Operator algebras in dynamical systems |
| title_sort | operator algebras in dynamical systems the theory of unbounded derivations in c algebras |
| title_sub | the theory of unbounded derivations in C*-algebras |
| topic | C*-algebras Differentiable dynamical systems Harmonic analysis Operator theory C-Stern-Algebra (DE-588)4136693-1 gnd Operatoralgebra (DE-588)4129366-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | C*-algebras Differentiable dynamical systems Harmonic analysis Operator theory C-Stern-Algebra Operatoralgebra Harmonische Analyse Differenzierbares dynamisches System |
| url | https://doi.org/10.1017/CBO9780511662218 |
| work_keys_str_mv | AT sakaishoichiro operatoralgebrasindynamicalsystemsthetheoryofunboundedderivationsincalgebras |