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An introduction to KMS weights

By: Language: English Series: Lecture notes in mathematics ; 2362 Publication details: Springer 2024 SwitzerlandDescription: xi, 326pISBN:
  • 9783031756290 (PB)
Subject(s):
Contents:
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
Summary: 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
Item type: BOOKS List(s) this item appears in: New Arrivals (01 April 2025)
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Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library IMSc Library 512.6 HOS (Browse shelf(Opens below)) Checked out 23/10/2025 78537

Includes index

Includes references

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

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

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The Institute of Mathematical Sciences, Chennai, India