Authors: Carlson, Kevin
Cheung, Enoch
Farah, Ilijas 
Gerhardt-Bourke, Alexander
Hart, Bradd
Mezuman, Leanne
Sequeira, Nigel
Sherman, Alexander
Title: Omitting types and AF algebras
Journal: Archive for Mathematical Logic
Volume: 53
Issue: 1-2
First page: 157
Last page: 169
Issue Date: 1-Feb-2014
Rank: M22
ISSN: 0933-5846
DOI: 10.1007/s00153-013-0360-9
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.
Keywords: AF algebras | Omitting types | UHF algebras
Publisher: Springer Link

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