Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2020.tde-19042020-171921
Document
Author
Full name
Rafael Pereira Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Gonzalez, Cristian Andres Ortiz (President)
Baraviera, Alexandre Tavares
Buss, Alcides
Baraviera, Alexandre Tavares
Buss, Alcides
Title in English
Characterization of extremal KMS states on groupoid C*-algebras
Keywords in English
C*-algebras
Conformal measures
Groupoids
KMS states
Conformal measures
Groupoids
KMS states
Abstract in English
In this master's thesis we study a theorem due to Neshveyev which describes all KMS states on the groupoid C*-algebra for a locally compact Hausdorff second countable étale groupoid. Then we study a result due to Thomsen which characterizes the extremal KMS states on this C*-algebra for a Renault-Deaconu groupoid.
Title in Portuguese
Characterization of extremal KMS states on groupoid C*-algebras
Keywords in Portuguese
C*-álgebras
Estados KMS
Grupóides
Medidas conformes
Estados KMS
Grupóides
Medidas conformes
Abstract in Portuguese
Nesta dissertação de mestrado, estudamos um teorema de Neshveyev que descreve todos os estados KMS em uma C*-álgebra de um grupóide étale localmente compacto Hausdorff satisfazendo o segundo axioma de enumerabilidade. Depois estudamos um resultado provado por Thomsen que caracteriza os estados KMS extremais nessa C*-álgebra para um grupóide de Renault-Deaconu.
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Publishing Date
2020-04-28
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