activity
20092026
most citedTensor categories and endomorphisms of von Neumann algebras (with applications to Quantum Field Theory)

63 citations · 270 across the 21 of their papers we have counts for

collaborators

24 papers

math.OA2026

Continuous categories of endomorphisms associated with -kernels

Marcel Bischoff, Pradyut Karmakar

We generalize the construction of tensor categories of endomorphisms of a type III factor associated with a -kernel, from the case of a discrete group to that of a compa…

math.OA2024

Anomalies for conformal nets associated with lattices and -kernels

Marcel Bischoff, Pradyut Karmakar

Let an even lattice and the associated torus. Associated with we construct --kernel on a hyperfinite factor type $\m…

math.OA2022★ 7 cited

Quantum Operations on Conformal Nets

Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti

On a conformal net , one can consider collections of unital completely positive maps on each local algebra , subject to natural compatibility, vacuum p…

math.OA2021★ 8 cited

Galois Correspondence and Fourier Analysis on Local Discrete Subfactors

Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti

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 com…

math.OA2020

Distortion for multifactor bimodules and representations of multifusion categories

Marcel Bischoff, Ian Charlesworth, Samuel Evington +2

We call a von Neumann algebra with finite dimensional center a multifactor. We introduce an invariant of bimodules over multifactors that we call modular distortion, and…

math.OA2020★ 9 cited

Compact Hypergroups from Discrete Subfactors

Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti

Conformal inclusions of chiral conformal field theories, or more generally inclusions of quantum field theories, are described in the von Neumann algebraic setting by nets of subfa…