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math.OA2025
Hyperrigidity III
Paweł Pietrzycki, Marcel Scherer, Jan Stochel
In this paper, we study hyperrigidity for -algebras. We will show that hyperrigidity can be expressed solely in terms of representations, without the need to involve general u…
math.OA2024
Hyperrigidity II: -dilations, ideals and decompositions
Paweł Pietrzycki, Jan Stochel
We investigate the hyperrigidity of subsets of unital -algebras annihilated by states (or, more generally, by completely positive maps). This is closely related to the concept…
math.OA2024
Hyperrigidity I: singly generated commutative -algebras
Paweł Pietrzycki, Jan Stochel
Although Arveson's hyperrigidity conjecture was recently resolved negatively by B. Bilich and A. Dor-On, the problem remains open for commutative -algebras. Relatively few exa…