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Cover: 9783031756290 | An Introduction to KMS Weights | Klaus Erik Thomsen | Taschenbuch | xi
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An Introduction to KMS Weights
Taschenbuch von Klaus Erik Thomsen
Sprache: Englisch

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Beschreibung
This book provides an introduction to the theory of KMS weights and KMS states, which play an important role in mathematical physics and other applications of operator algebras. Leading from the definitions to some of the most recent research results, it covers advanced topics such as the Laca-Neshveyev theorem, elements of the modular theory of von Neumann algebras, the geometry of the set of KMS weights, duality (for KMS weights on crossed products), the relationship between KMS weights and traces and the types of factors associated with extremal KMS weights. Some of the material is new, in the sense that the proofs and results are published here for the first time. This relatively self-contained book will be useful both to researchers in the area of operator algebras and to more advanced students who wish to enter this field.
This book provides an introduction to the theory of KMS weights and KMS states, which play an important role in mathematical physics and other applications of operator algebras. Leading from the definitions to some of the most recent research results, it covers advanced topics such as the Laca-Neshveyev theorem, elements of the modular theory of von Neumann algebras, the geometry of the set of KMS weights, duality (for KMS weights on crossed products), the relationship between KMS weights and traces and the types of factors associated with extremal KMS weights. Some of the material is new, in the sense that the proofs and results are published here for the first time. This relatively self-contained book will be useful both to researchers in the area of operator algebras and to more advanced students who wish to enter this field.
Über den Autor

Klaus Erik Thomsen is emeritus professor at the university of Aarhus. He has published more than 100 papers on operator algebras, dynamical systems and K-theory. Twenty of his most recent papers are centered around the KMS condition.

Inhaltsverzeichnis

- 1. Weights.- 2. KMS Weights.- 3. Laca-Neshveyev' Theorem.- 4. Modular Theory.- 5. The Set of ¿-KMS Weights.- 6. Some Examples and Constructions.- 7. Dual KMS Weights.- 8. On Tracial Representations of KMS Weights.- 9. The Bundle of KMS States.- 10. Factor Types of Extremal KMS Weights.

Details
Erscheinungsjahr: 2024
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xi
328 S.
ISBN-13: 9783031756290
ISBN-10: 3031756290
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Thomsen, Klaus Erik
Hersteller: Springer Nature Switzerland
Springer International Publishing
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 19 mm
Von/Mit: Klaus Erik Thomsen
Erscheinungsdatum: 15.11.2024
Gewicht: 0,517 kg
Artikel-ID: 130078685
Über den Autor

Klaus Erik Thomsen is emeritus professor at the university of Aarhus. He has published more than 100 papers on operator algebras, dynamical systems and K-theory. Twenty of his most recent papers are centered around the KMS condition.

Inhaltsverzeichnis

- 1. Weights.- 2. KMS Weights.- 3. Laca-Neshveyev' Theorem.- 4. Modular Theory.- 5. The Set of ¿-KMS Weights.- 6. Some Examples and Constructions.- 7. Dual KMS Weights.- 8. On Tracial Representations of KMS Weights.- 9. The Bundle of KMS States.- 10. Factor Types of Extremal KMS Weights.

Details
Erscheinungsjahr: 2024
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xi
328 S.
ISBN-13: 9783031756290
ISBN-10: 3031756290
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Thomsen, Klaus Erik
Hersteller: Springer Nature Switzerland
Springer International Publishing
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 19 mm
Von/Mit: Klaus Erik Thomsen
Erscheinungsdatum: 15.11.2024
Gewicht: 0,517 kg
Artikel-ID: 130078685
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