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arXiv · 2512.08848

Monadic reconstruction of unitary Drinfeld centers and Factorization Homology

Lucas Hataishi
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Abstract

We prove that the unitary Drinfeld center of a unitary tensor category is equivalente to the category of unitary bimodules for the canonical W*-algebra object, generalizing M\"uger's result to the non-fusion case. This is then used to express factorization homology in terms of C*-algebraic extensions of symmetric enveloping algebras and actions of Drinfeld dobules of compact quantum groups.

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Lucas Hataishi. 2025-12-09. Monadic reconstruction of unitary Drinfeld centers and Factorization Homology. https://arxiv.org/abs/2512.08848

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