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math.OA2026
The Homotopy 3-Type of Abelian C*-Algebras
Gregory Faurot, Giovanni Ferrer
We compute the homotopy groups at each unital abelian C*-algebra in the Morita -category of abelian C*-algebras, C*-algebras with central maps, C*-correspondences, and ad…
math.OA2024
Foundations for operator algebraic tricategories
Giovanni Ferrer
An operator algebraic tricategory is a higher categorical analogue of an operator algebra. For algebraic tricategories, Gordon, Power, and Street proved that every algebraic tricat…