03075nam a22005655i 4500 978-3-031-75630-6 DE-He213 20251030113313.0 cr nn 008mamaa 241115s2024 sz | s |||| 0|eng d 9783031756306 978-3-031-75630-6 10.1007/978-3-031-75630-6 doi QA319-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Thomsen, Klaus Erik. author. aut http://id.loc.gov/vocabulary/relators/aut 87540 An Introduction to KMS Weights [electronic resource] / by Klaus Erik Thomsen. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XI, 328 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Mathematics, 1617-9692 ; 2362 - 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. 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. Functional analysis. Operator theory. Mathematical physics. Dynamical systems. Functional Analysis. Operator Theory. Mathematical Physics. Dynamical Systems. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031756290 Printed edition: 9783031756313 Lecture Notes in Mathematics, 1617-9692 ; 2362 75434 https://doi.org/10.1007/978-3-031-75630-6 ZDB-2-SMA ZDB-2-SXMS ZDB-2-LNM 64966 64966