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math.OA2026
Noncommutative protori and inductive spectral triples
Remus Floricel, Patrick Melanson
We study inductive limits of higher-dimensional noncommutative tori, which we call noncommutative protori. We compute the Elliott invariants for broad classes of unital and nonunit…
math.OA2026
Bures--Kuratowski metrics and simplicial complexes for completely bounded maps
Remus Floricel, Sarah Plosker, Avner Sadikov
Let be a unital -algebra and a Hilbert space. The cone $\CP(A,B(H))$ of completely positive maps carries the Bures metric , closely related to the cb-norm. We intr…