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math.OA2023
A boundary projection for the dilation order
Raphaël Clouâtre, Hridoyananda Saikia
Motivated by Arveson's conjecture, we introduce a notion of hyperrigidity for a partial order on the state space of a -algebra . We show how this property is equivalent to…
math.OA2023
Restrictions of pure states to subspaces of -algebras
Raphaël Clouâtre
Through the lens of noncommutative function theory, we study restrictions of pure states to unital subspaces of -algebras, in the spirit of the Kadison--Singer question. More…