On Strict Higher C*-categories

zbMath1440.18041arXiv1709.09339MaRDI QIDQ5116341

Wicham Lewkeeratiyutkul, Paolo Bertozzini, Roberto Conti, Noppakhun Suthichitranont

Publication date: 24 August 2020

Full work available at URL: https://arxiv.org/abs/1709.09339

zbMATH Keywords

Fell bundlehypermatrixhigher category\(C^*\)-categoryinvolutive category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Categories, functors in functional analysis (46M15) 2-categories, bicategories, double categories (18N10) Methods of category theory in functional analysis (46M99)

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Realization of rigid \(C^\ast \)-bicategories as bimodules over type \(\mathrm{II}_1\) von Neumann algebras ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers

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