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020 _a9783031756306
_9978-3-031-75630-6
024 7 _a10.1007/978-3-031-75630-6
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
100 1 _aThomsen, Klaus Erik.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987540
245 1 3 _aAn Introduction to KMS Weights
_h[electronic resource] /
_cby Klaus Erik Thomsen.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 328 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v2362
505 0 _a- 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.
520 _aThis 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.
650 0 _aFunctional analysis.
650 0 _aOperator theory.
650 0 _aMathematical physics.
650 0 _aDynamical systems.
650 1 4 _aFunctional Analysis.
650 2 4 _aOperator Theory.
650 2 4 _aMathematical Physics.
650 2 4 _aDynamical Systems.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031756290
776 0 8 _iPrinted edition:
_z9783031756313
830 0 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v2362
_975434
856 4 0 _uhttps://doi.org/10.1007/978-3-031-75630-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
999 _c64966
_d64966