02719nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001700169072002300186072001600209100008200225245008400307250001800391264006900409300003300478336002600511337002600537338003600563347002400599490005300623505030700676520084500983650002501828650002101853650002601874650002301900650002501923650002101948650002601969650002301995710003402018773002602052776003602078776003602114830005302150856004602203978-3-031-75630-6DE-He21320251030113313.0cr nn 008mamaa241115s2024    sz |    s    |||| 0|eng d  a97830317563067 a10.1007/978-3-031-75630-62doi 4aQA319-329.9 7aPBKF2bicssc 7aMAT0370002bisacsh 7aPBKF2thema1 aThomsen, Klaus Erik.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut13aAn Introduction to KMS Weightsh[electronic resource] /cby Klaus Erik Thomsen.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXI, 328 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aLecture Notes in Mathematics,x1617-9692 ;v23620 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.  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. 0aFunctional analysis. 0aOperator theory. 0aMathematical physics. 0aDynamical systems.14aFunctional Analysis.24aOperator Theory.24aMathematical Physics.24aDynamical Systems.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303175629008iPrinted edition:z9783031756313 0aLecture Notes in Mathematics,x1617-9692 ;v236240uhttps://doi.org/10.1007/978-3-031-75630-6