An Introduction to KMS Weights
Springer International Publishing (Verlag)
978-3-031-75629-0 (ISBN)
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.
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.
- 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.
The book has ten chapters and five appendices. ... this book can serve as an introduction to the theory of KMS weights and KMS states, while it also leads to more advanced topics and presents some new results. It will be a useful resource for the research community working in this area and related topics. (Xin Li, Mathematical Reviews, October, 2025)
| Erscheinungsdatum | 16.11.2024 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XI, 328 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Naturwissenschaften ► Physik / Astronomie | |
| Schlagworte | C*-algebras • Equilibrium states • Flows • KMS condition • KMS Weights • operator algebras • quantum statistical mechanics |
| ISBN-10 | 3-031-75629-0 / 3031756290 |
| ISBN-13 | 978-3-031-75629-0 / 9783031756290 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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