Defines NI-SETOs as relative centers of unitary fusion categories and shows they can be realized in string net models and on boundaries of 3D Walker-Wang models.
Bicommutant categories from fusion categories
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Bicommutant categories are higher categorical analogs of von Neumann algebras that were recently introduced by the first author. In this article, we prove that every unitary fusion category gives an example of a bicommutant category. This theorem categorifies the well known result according to which a finite dimensional *-algebra that can be faithfully represented on a Hilbert space is in fact a von Neumann algebra.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces G-Hermitian 2-vector spaces via fixed points of an O(2)-action on 2Vect and criteria for positive pairings to generalize the Hermitian-to-Hilbert passage, with an outline for inductive higher-dimensional versions.
citing papers explorer
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Non-invertible symmetry enriched string net topological orders
Defines NI-SETOs as relative centers of unitary fusion categories and shows they can be realized in string net models and on boundaries of 3D Walker-Wang models.
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The many faces of higher Hilbert spaces
Introduces G-Hermitian 2-vector spaces via fixed points of an O(2)-action on 2Vect and criteria for positive pairings to generalize the Hermitian-to-Hilbert passage, with an outline for inductive higher-dimensional versions.