An Introduction to KMS Weights - Klaus Erik Thomsen

An Introduction to KMS Weights

Buch | Softcover
XI, 328 Seiten
2024
Springer International Publishing (Verlag)
978-3-031-75629-0 (ISBN)
80,24 inkl. MwSt

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.

Erscheint lt. Verlag 17.12.2024
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo X, 290 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
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