Monadic reconstruction of unitary Drinfeld centers and Factorization Homology
Quantum Algebra
2026-03-16 v2 Mathematical Physics
math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.2512.08848,
title = {Monadic reconstruction of unitary Drinfeld centers and Factorization Homology},
author = {Lucas Hataishi},
journal= {arXiv preprint arXiv:2512.08848},
year = {2026}
}
Comments
37 pages. Comments welcomed