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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.OA2022
Minimal boundaries for operator algebras
Raphaël Clouâtre, Ian Thompson
We study boundaries for unital operator algebras. These are sets of irreducible -representations that completely capture the spatial norm attainment for a given subalgebra. Clas…