Realization of rigid C$^*$-tensor categories via Tomita bimodules

zbMath1449.46048arXiv1712.09311MaRDI QIDQ5382539

Luca Giorgetti, Wei Yuan

Publication date: 17 June 2019

Full work available at URL: https://arxiv.org/abs/1712.09311

zbMATH Keywords

free group factor\(C^*\)-tensor categoryFock space constructionpre-Hilbert \(C^*\)-bimodule

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of von Neumann algebras (46L10) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (7)

Galois correspondence and Fourier analysis on local discrete subfactors ⋮ A planar algebraic description of conditional expectations ⋮ Quantum operations on conformal nets ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Realization of rigid \(C^\ast \)-bicategories as bimodules over type \(\mathrm{II}_1\) von Neumann algebras ⋮ Remarks on anomalous symmetries of \(C^*\)-algebras ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers

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