Bicommutant categories from fusion categories

DOI10.1007/s00029-016-0251-0zbMath1434.18007arXiv1511.05226OpenAlexW2962782635MaRDI QIDQ2362835

André Henriques, David Penneys

Publication date: 14 July 2017

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05226

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Subfactors and their classification (46L37) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (20)

Q-system completion for \(C^\ast 2\)-categories ⋮ Operator algebras in rigid \(\mathrm{C}^\ast\)-tensor categories ⋮ Braided categories of endomorphisms as invariants for local quantum field theories ⋮ Realizations of algebra objects and discrete subfactors ⋮ A lattice model for condensation in Levin-Wen systems ⋮ Representations of fusion categories and their commutants ⋮ K-theoretic classification of inductive limit actions of fusion categories on AF-algebras ⋮ Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology ⋮ Uniqueness of unitary structure for unitarizable fusion categories ⋮ Conformal nets are factorization algebras ⋮ Realizations of rigid C*-tensor categories as bimodules over GJS C*-algebras ⋮ Q-systems and compact W*-algebra objects ⋮ Loop groups and diffeomorphism groups of the circle as colimits ⋮ Solitons and nonsmooth diffeomorphisms in conformal nets ⋮ Remarks on anomalous symmetries of \(C^*\)-algebras ⋮ Topological field theories and symmetry protected topological phases with fusion category symmetries ⋮ Unitary dual functors for unitary multitensor categories ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers ⋮ Galois action on VOA gauge anomalies ⋮ Planar Algebras in Braided Tensor Categories

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