Omitting types and AF algebras

Alexander Gerhardt-Bourke; Alexander Sherman; Bradd Hart; Enoch Cheung; Ilijas Farah; Kevin Carlson; Leanne Mezuman; Nigel Sequeira

arxiv: 1212.3576 · v2 · pith:5G4QHHJTnew · submitted 2012-12-14 · 🧮 math.LO · math.OA

Omitting types and AF algebras

Kevin Carlson , Enoch Cheung , Ilijas Farah , Alexander Gerhardt-Bourke , Bradd Hart , Leanne Mezuman , Nigel Sequeira , Alexander Sherman This is my paper

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keywords algebrastypescertaincharacterizationsgivemodel-theoreticomitomitting

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We give model-theoretic characterizations of UHF algebras and of AF algebras as C*-algebras that omit certain sets of types.

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Omitting types and AF algebras

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