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Beyond Rationality in Algebraic CFT: mathematical structures and models

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Bayesian inversion and the Tomita-Takesaki modular group (opens in new window)

Author(s): Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo, Benjamin P. Russo
Published in: The Quarterly Journal Of Mathematics, Issue 74, 2023, Page(s) 975-1014, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haad014

Quantum operations on conformal nets (opens in new window)

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

Haploid algebras in C*-tensor categories and the Schellekens list (opens in new window)

Author(s): Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti, Robin Hillier
Published in: Communications in Mathematical Physics, 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04722-9

Galois correspondence and Fourier analysis on local discrete subfactors (opens in new window)

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

Wightman fields for two-dimensional conformal field theories with pointed representation category (opens in new window)

Author(s): Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
Published in: Communications in Mathematical Physics, 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04835-1

Ergodic properties of the Anzai skew-product for the non-commutative torus (opens in new window)

Author(s): SIMONE DEL VECCHIO, FRANCESCO FIDALEO, LUCA GIORGETTI, STEFANO ROSSI
Published in: Ergodic Theory and Dynamical Systems, Issue 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 (opens in new window)

Author(s): Marco Benini, Luca Giorgetti, Alexander Schenkel
Published in: Communications in Mathematical Physics, Issue 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 (opens in new window)

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

Quantum Operations in Algebraic QFT (opens in new window)

Author(s): Luca Giorgetti
Published in: Note di Matematica, Issue 43, 2023, Page(s) 41–56, ISSN 1123-2536
Publisher: Pitagora editrice
DOI: 10.1285/i15900932v43n1p41

Distortion for multifactor bimodules and representations of multifusion categories (opens in new window)

Author(s): Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, David Penneys
Published in: Documenta Mathematica, Issue 30, 2025, Page(s) 497-586, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.4171/dm/1011

Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras (opens in new window)

Author(s): Luca Giorgetti, Wei Yuan
Published in: Advances in Mathematics, Issue 415, 2020, Page(s) 108886, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108886

Compact hypergroups from discrete subfactors (opens in new window)

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

Subfactors and Applications (opens in new window)

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

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