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Beyond Rationality in Algebraic CFT: mathematical structures and models

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Publications

A planar algebraic description of conditional expectations

Author(s): Giorgetti, Luca
Published in: 2021
Publisher: arXiv

Bayesian inversion and the Tomita-Takesaki modular group

Author(s): Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo, Benjamin P. Russo
Published in: 2021
Publisher: arXiv

Haploid algebras in C*-tensor categories and the Schellekens list

Author(s): Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti, Robin Hillier
Published in: 2022
Publisher: arXiv

A skeletal model for 2d conformal AQFTs

Author(s): Benini, Marco; Giorgetti, Luca; Schenkel, Alexander
Published in: 2021
Publisher: arXiv

Distortion for multifactor bimodules and representations of multifusion categories

Author(s): Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, David Penneys
Published in: 2020
Publisher: arXiv

Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras

Author(s): Luca Giorgetti, Wei Yuan
Published in: 2020
Publisher: arXiv

Quantum operations on conformal nets

Author(s): Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Published in: Reviews in Mathematical Physics, 0129055X, 2022, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x23500071

Galois correspondence and Fourier analysis on local discrete subfactors

Author(s): Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Published in: Annales Henri Poincaré, 14240637, 2022, Page(s) 2979–3020, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01154-4

Ergodic properties of the Anzai skew-product for the non-commutative torus

Author(s): SIMONE DEL VECCHIO, FRANCESCO FIDALEO, LUCA GIORGETTI, STEFANO ROSSI
Published in: Ergodic Theory and Dynamical Systems, 41/4, 2021, Page(s) 1064-1085, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2019.116

A skeletal model for 2d conformal AQFTs

Author(s): Marco Benini, Luca Giorgetti, Alexander Schenkel
Published in: Communications in Mathematical Physics, 00103616, 2022, Page(s) 269–298, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04428-4

A planar algebraic description of conditional expectations

Author(s): Luca Giorgetti
Published in: International Journal of Mathematics, 0129167X, 2022, Page(s) 2250037-23, ISSN 0129-167X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129167x22500379

Compact hypergroups from discrete subfactors

Author(s): Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Published in: Journal of Functional Analysis, 281/1, 2021, Page(s) 109004, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2021.109004

Subfactors and Applications

Author(s): Dietmar Bisch, Terry Gannon, Vaughan Jones, Yasuyuki Kawahigashi
Published in: Oberwolfach Reports, 16/4, 2019, Page(s) 3053-3140, ISSN 1660-8933
Publisher: EMS Press
DOI: 10.4171/owr/2019/49