An expository overview connecting model-theoretic classification theory to operator-algebraic classifications of UHF and AF algebras.
Model theory of $\mathrm{C}^*$-algebras
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abstract
We begin the systematic model theoretic study of $\mathrm{C}^*$-algebras using the tools of continuous logic.
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math.OA 1years
2019 1verdicts
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An Introduction to Abstract Classification Theory in the Operator Algebraic Setting
An expository overview connecting model-theoretic classification theory to operator-algebraic classifications of UHF and AF algebras.