Master Dissertation
Document
Master Dissertation
Author
Full name
Rafael Pereira Lima
E-mail
Institute/School/College
Instituto de Matemática e Estatística
Knowledge Area
Date of Defense
2019-07-01
Published
São Paulo, 2019
Supervisor
Committee
Gonzalez, Cristian Andres Ortiz (President)
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
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
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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