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• W1769487261 abstract "We show that the class of 1-exact operator systems is not uniformly definable by a sequence of types. We use this fact to show that there is no finitary version of Arveson's extension theorem. Next, we show that WEP is equivalent to a certain notion of existential closedness for C$^*$ algebras and use this equivalence to give a simpler proof of Kavruk's result that WEP is equivalent to the complete tight Riesz interpolation property. We then introduce a variant of the space of n-dimensional operator systems and connect this new space to the Kirchberg Embedding Problem, which asks whether every C$^*$ algebra embeds into an ultrapower of the Cuntz algebra $mathcal{O}_2$. We end with some results concerning the question of whether or not the local lifting property (in the sense of Kirchberg) is uniformly definable by a sequence of types in the language of C$^*$ algebras." @default.
• W1769487261 created "2016-06-24" @default.
• W1769487261 creator A5034272924 @default.
• W1769487261 creator A5064180225 @default.
• W1769487261 date "2015-01-26" @default.
• W1769487261 modified "2023-09-27" @default.
• W1769487261 title "Omitting types in operator systems" @default.
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