Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, A. Khélif, A. Vignati
Email des responsables : sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain
Description

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Orateur(s) Alessandro Vignati - IMJ-PRG,
Titre Games on AF-algebras
Date30/05/2022
Horaire15:15 à 16:15
Diffusion
Résume

We analyze C*-algebras, particularly approximately finite ones, in the context of the infinitary logic L_{\omega_1,\omega}. We show that, level by level, the L_{\omega_1,\omega} theory of a separable AF algebra can be covered from that of its K_0 group, a classifying group in this setting. We then use this to build a very concrete family of separable simple unital AF-algebras of arbitrarily high Scott rank. All preliminary notions will be discussed. This is joint work with De Bondt, Vaccaro, and Velickovic.

Salle1013
AdresseSophie Germain
© IMJ-PRG