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math.OA2025
Transportation cost and contraction coefficient for channels on von Neumann algebras
Roy Araiza, Marius Junge, Peixue Wu
We present a noncommutative optimal transport framework for quantum channels acting on von Neumann algebras. Our central object is the Lipschitz cost measure, a transportation-insp…
math.OA2024
On a question of Blecher, Pisier, Shlyakhtenko
Roy Araiza, Marius Junge, Carlos Palazuelos
We show the failure of a matricial version of Grothendieck's theorem for operator spaces, thereby resolving a long-standing open question in the field. Moreover, by showing that su…