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Creators/Authors contains: "Bischoff, Marcel"

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  1. ; (, Selecta Mathematica)
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  2. ; ; (, Annales Henri Poincaré)
    Discrete subfactors include a particular class of infinite index subfactors and all finite index ones. A discrete subfactor is called local when it is braided and it fulfills a commutativity condition motivated by the study of inclusion of Quantum Field Theories in the algebraic Haag–Kastler setting. In Bischoff et al. (J Funct Anal 281(1):109004, 2021), we proved that every irreducible local discrete subfactor arises as the fixed point subfactor under the action of a canonical compact hypergroup. In this work, we prove a Galois correspondence between intermediate von Neumann algebras and closed subhypergroups, and we study the subfactor theoretical Fourier transform in this context. Along the way, we extend the main results concerning 𝛼-induction and 𝜎-restriction for braided subfactors previously known in the finite index case. 
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  3. ; ; (, Journal of Functional Analysis)
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  4. (, Contemporary Mathematics. Topological Phases of Matter and Quantum Computation)
    We give a short proof for a well-known formula for the rank of a G-crossed braided extension of a modular tensor category. 
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    Accepted Manuscript Full Text Available
  5. ; ; ; (, Journal of High Energy Physics)
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