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.
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.
கொரோனா பெருந்தொற்றின் பரவலைத் தடுப்பதற்காக 2020 ஆம் ஆண்டில் திடீரென்று நடைமுறைப்படுத்தப்பட்ட தேசியப் பொதுமுடக்கத்தால் நாடு முழுவதிலும் இலட்சக்கணக்கான தொழிலாளர்கள் தங்களுடைய வேலைகளை இழந்து தவித்தனர்,...
कोव्हिड-19चा प्रसार रोखण्यासाठी सन 2020मध्ये लागू झालेल्या देशव्यापी टाळेबंदीमुळे लाखो मजूर बेरोजगार, उपाशी आणि बेघर बनले. यामुळे असाहाय्य आणि आणि लाचार झालेल्या बहुतेकांनी मृत्यूला कवटाळणार्या...
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