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Finite quantum groupoids and inclusions of finite type

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arxiv math/0011036 v1 pith:IXDMEWWH submitted 2000-11-06 math.QA

classification math.QA
keywords finitealgebrasinclusionsbialgebroidshopfweakabstractactions
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Bialgebroids, separable bialgebroids, and weak Hopf algebras are compared from a categorical point of view. Then properties of weak Hopf algebras and their applications to finite index and finite depth inclusions of von Neumann algebras are shortly reviewed. A hint is given at a duality between bialgebroid actions and abstract inclusions in 2-categories.

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Cited by 1 Pith paper

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  1. Classification of symmetric fusion categories over $\mathbb{R}$

    math.QA 2026-08 conditional novelty 7.0 of 10

    Every symmetric fusion category over R is equivalent to the semi-linear super representation category of a Z2-graded finite super group.

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