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Omitting types and AF algebras
Kevin Carlson, Enoch Cheung, Ilijas Farah, Alexander Gerhardt-Bourke, Bradd Hart, Leanne Mezuman, Nigel Sequeira & Alexander Sherman
Archive for Mathematical Logic 53 (1):157-169 (2014)
Abstract
We prove that the classes of UHF algebras and AF algebras, while not axiomatizable, can be characterized as those C*-algebras that omit certain types in the logic of metric structures.Links
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Citations of this work
Omitting types in logic of metric structures.Ilijas Farah & Menachem Magidor - 2018 - Journal of Mathematical Logic 18 (2):1850006.
An invitation to model theory and c*-algebras.Martino Lupini - 2019 - Bulletin of Symbolic Logic 25 (1):34-100.
Concrete barriers to quantifier elimination in finite dimensional C*‐algebras.Christopher J. Eagle & Todd Schmid - 2019 - Mathematical Logic Quarterly 65 (4):490-497.
References found in this work
Definability of groups in ℵ₀-stable metric structures.Itaï Ben Yaacov - 2010 - Journal of Symbolic Logic 75 (3):817-840.
On the complexity of the classification problem for torsion-free Abelian groups of finite rank.Simon Thomas - 2001 - Bulletin of Symbolic Logic 7 (3):329-344.
Definability of groups in ℵ₀-stable metric structures.Itaï Yaacov - 2010 - Journal of Symbolic Logic 75 (3):817-840.
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