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arXiv · 1212.3576

Omitting types and AF algebras

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

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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Kevin Carlson, Enoch Cheung, Ilijas Farah, Alexander Gerhardt-Bourke, Bradd Hart, Leanne Mezuman, Nigel Sequeira, Alexander Sherman. 2012-12-14. Omitting types and AF algebras. https://arxiv.org/abs/1212.3576

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