TY  - BOOK
AU  - Thomsen,Klaus Erik
ED  - SpringerLink (Online service)
TI  - An Introduction to KMS Weights
T2  - Lecture Notes in Mathematics,
SN  - 9783031756306
AV  - QA319-329.9 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Functional analysis
KW  - Operator theory
KW  - Mathematical physics
KW  - Dynamical systems
KW  - Functional Analysis
KW  - Operator Theory
KW  - Mathematical Physics
KW  - Dynamical Systems
N1  - - 1. Weights -- 2. KMS Weights -- 3. Laca-Neshveyev’ Theorem -- 4. Modular Theory -- 5. The Set of 𝜷-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
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-75630-6
ER  -