Representations of fusion categories and their commutants
From MaRDI portal
Publication:6103426
DOI10.1007/s00029-023-00841-2zbMath1530.18022arXiv2004.08271OpenAlexW3016348021MaRDI QIDQ6103426
André Henriques, David Penneys
Publication date: 5 June 2023
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08271
General theory of von Neumann algebras (46L10) Categories, functors in functional analysis (46M15) Monoidal categories, symmetric monoidal categories (18M05) String diagrams and graphical calculi (18M30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fusion categories and homotopy theory
- Representation theory for subfactors, \(\lambda\)-lattices and \(C^\ast\)-tensor categories
- Approximate innerness and central triviality of endomorphisms
- \(W^ *\)-categories
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- The geometry of tensor calculus. I
- A remark on the minimal index of subgfactors
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- A theory of dimension
- Classification of subfactors: The reduction to commuting squares
- Minimizing indices of conditional expectations onto a subfactor
- Index of subfactors and statistics of quantum fields. I
- Theory of operator algebras. III
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- An axiomatization of the lattice of higher relative commutants of a subfactor
- Tensor \(C^\ast\)-categories arising as bimodule categories of \(II_{1}\) factors
- Dualizability and index of subfactors
- Notes on the bicategory of \(\mathrm{W}^\ast\)-bimodules
- Bicommutant categories from fusion categories
- Operator algebras in rigid \(\mathrm{C}^\ast\)-tensor categories
- On fusion categories.
- Classification of minimal actions of a compact Kac algebra with amenable dual
- On rings of operators. IV
- Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras
- Dagger Compact Closed Categories and Completely Positive Maps
- A Survey of Graphical Languages for Monoidal Categories
- Planar algebras
- The standard form of von Neumann algebras.
- AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY
- A Cuntz algebra approach to the classification of near-group categories
- Canonical extension of endomorphisms of type III factors
- What Chern–Simons theory assigns to a point
- Unitary dual functors for unitary multitensor categories
- Tensor Categories
- Perturbations of Planar Algebras
- Planar Algebras in Braided Tensor Categories
This page was built for publication: Representations of fusion categories and their commutants