Characterization of extremal KMS states on groupoid C*-algebras

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 Rena...

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Detalles Bibliográficos
Autor: Lima, Rafael Pereira
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade de São Paulo (USP)
Repositorio:Biblioteca Digital de Teses e Dissertações da USP
Idioma:inglés
OAI Identifier:oai:teses.usp.br:tde-19042020-171921
Acceso en línea:https://www.teses.usp.br/teses/disponiveis/45/45132/tde-19042020-171921/
Access Level:acceso abierto
Palabra clave:C*-algebras
C*-álgebras
Conformal measures
Estados KMS
Groupoids
Grupóides
KMS states
Medidas conformes
Descripción
Sumario: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.