Model Theory of Operator Systems and C$^*$-Algebras
Thomas Sinclair
TL;DR
This paper surveys the application of model theory to operator systems and C*-algebras, highlighting how logical frameworks can analyze their structures and properties.
Contribution
It provides a comprehensive overview of the current state of model theory as applied to operator systems and C*-algebras, emphasizing recent advances.
Findings
Model theory offers new insights into operator systems and C*-algebras.
Logical frameworks facilitate the classification of these structures.
The survey identifies key open problems and future research directions.
Abstract
We survey the model theory of operator systems and C-algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Banach Space Theory · Holomorphic and Operator Theory