# Finite quantum groupoids and inclusions of finite type

Source: [Finite quantum groupoids and inclusions of finite type](<https://www.sota2.com/research/paper/68fa4c931e209131ce94d408>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:49:13.710Z

Authors: K. Szlachanyi

Published: 2000-11-06T21:43:47.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0011036>)

[PDF](<https://arxiv.org/pdf/math/0011036.pdf>)