Chen, Quan Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules. (English) Zbl 07822929 Doc. Math. 29, No. 2, 247-341 (2024). MSC: 18M20 18M30 18N10 46L37 PDFBibTeX XMLCite \textit{Q. Chen}, Doc. Math. 29, No. 2, 247--341 (2024; Zbl 07822929) Full Text: DOI arXiv OA License
Evington, Samuel; Pacheco, Sergio Girón; Jones, Corey Equivariant \(\mathcal{D}\)-stability for Actions of Tensor Categories. arXiv:2401.14238 Preprint, arXiv:2401.14238 [math.OA] (2024). MSC: 46L35 46L37 46L55 18D10 BibTeX Cite \textit{S. Evington} et al., ``Equivariant $\mathcal{D}$-stability for Actions of Tensor Categories'', Preprint, arXiv:2401.14238 [math.OA] (2024) Full Text: arXiv OA License
Ghosh, Mainak Q-system completeness of unitary connections. (English) Zbl 07823998 Theory Appl. Categ. 39, 1121-1151 (2023). MSC: 46M15 18M20 46L37 PDFBibTeX XMLCite \textit{M. Ghosh}, Theory Appl. Categ. 39, 1121--1151 (2023; Zbl 07823998) Full Text: arXiv Link
Ghosh, Mainak Q-system completion of 2-functors. (English) Zbl 1524.18044 Int. J. Math. 34, No. 12, Article ID 2350073, 29 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 46M15 46L37 PDFBibTeX XMLCite \textit{M. Ghosh}, Int. J. Math. 34, No. 12, Article ID 2350073, 29 p. (2023; Zbl 1524.18044) Full Text: DOI arXiv
Grossman, Pinhas; Morrison, Scott; Penneys, David; Peters, Emily; Snyder, Noah The extended Haagerup fusion categories. (English) Zbl 07714642 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 2, 589-664 (2023). MSC: 46L37 18M20 PDFBibTeX XMLCite \textit{P. Grossman} et al., Ann. Sci. Éc. Norm. Supér. (4) 56, No. 2, 589--664 (2023; Zbl 07714642) Full Text: DOI arXiv
Liu, Zhengwei; Palcoux, Sebastien; Ren, Yunxiang Interpolated family of non-group-like simple integral fusion rings of Lie type. (English) Zbl 1526.46040 Int. J. Math. 34, No. 6, Article ID 2350030, 51 p. (2023). MSC: 46L37 18M20 20C33 20D06 PDFBibTeX XMLCite \textit{Z. Liu} et al., Int. J. Math. 34, No. 6, Article ID 2350030, 51 p. (2023; Zbl 1526.46040) Full Text: DOI arXiv
Kawahigashi, Yasuyuki A characterization of a finite-dimensional commuting square producing a subfactor of finite depth. (English) Zbl 07690532 Int. Math. Res. Not. 2023, No. 10, 8419-8433 (2023). Reviewer: Liguang Wang (Qufu) MSC: 46L37 18M20 PDFBibTeX XMLCite \textit{Y. Kawahigashi}, Int. Math. Res. Not. 2023, No. 10, 8419--8433 (2023; Zbl 07690532) Full Text: DOI arXiv
Hollands, Stefan Anyonic chains - \(\alpha\)-induction - CFT - defects - subfactors. (English) Zbl 1522.81505 Commun. Math. Phys. 399, No. 3, 1549-1621 (2023). MSC: 81T40 18M20 81V27 46L37 82B20 82C10 39A13 46L10 PDFBibTeX XMLCite \textit{S. Hollands}, Commun. Math. Phys. 399, No. 3, 1549--1621 (2023; Zbl 1522.81505) Full Text: DOI arXiv
Afzaly, Narjess; Morrison, Scott; Penneys, David The classification of subfactors with index at most \(5 \frac{1}{4} \). (English) Zbl 1522.46002 Memoirs of the American Mathematical Society 1405. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4712-0/pbk; 978-1-4704-7443-0/ebook). v, 81 p. (2023). MSC: 46-02 46L37 18N10 05C30 11R18 PDFBibTeX XMLCite \textit{N. Afzaly} et al., The classification of subfactors with index at most \(5 \frac{1}{4} \). Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1522.46002) Full Text: DOI arXiv
Pacheco, Sergio Girón; Neagu, Robert An Elliott intertwining approach to classifying actions of C\(^*\)-tensor categories. arXiv:2310.18125 Preprint, arXiv:2310.18125 [math.OA] (2023). MSC: 46L35 46L37 46L55 18D10 BibTeX Cite \textit{S. G. Pacheco} and \textit{R. Neagu}, ``An Elliott intertwining approach to classifying actions of C$^*$-tensor categories'', Preprint, arXiv:2310.18125 [math.OA] (2023) Full Text: arXiv OA License
Henriques, André; Penneys, David; Tener, James Classification of finite depth objects in bicommutant categories via anchored planar algebras. arXiv:2307.13822 Preprint, arXiv:2307.13822 [math.OA] (2023). MSC: 18M20 46L37 18M30 46L10 BibTeX Cite \textit{A. Henriques} et al., ``Classification of finite depth objects in bicommutant categories via anchored planar algebras'', Preprint, arXiv:2307.13822 [math.OA] (2023) Full Text: arXiv OA License
Jones, Corey; Naaijkens, Pieter; Penneys, David; Wallick, Daniel Local topological order and boundary algebras. arXiv:2307.12552 Preprint, arXiv:2307.12552 [math-ph] (2023). MSC: 81T05 81T25 18M20 46L37 46L60 81V27 BibTeX Cite \textit{C. Jones} et al., ``Local topological order and boundary algebras'', Preprint, arXiv:2307.12552 [math-ph] (2023) Full Text: arXiv OA License
Palomares, Roberto Hernández; Nelson, Brent Discrete Inclusions of \(\rm{C}^{*}\)-algebras. arXiv:2305.05072 Preprint, arXiv:2305.05072 [math.OA] (2023). MSC: 46L05 46L37 46L08 46M15 18M30 BibTeX Cite \textit{R. H. Palomares} and \textit{B. Nelson}, ``Discrete Inclusions of $\rm{C}^{*}$-algebras'', Preprint, arXiv:2305.05072 [math.OA] (2023) Full Text: arXiv OA License
Jones, Corey DHR bimodules of quasi-local algebras and symmetric quantum cellular automata. arXiv:2304.00068 Preprint, arXiv:2304.00068 [math-ph] (2023). MSC: 81R15 46L37 18M20 BibTeX Cite \textit{C. Jones}, ``DHR bimodules of quasi-local algebras and symmetric quantum cellular automata'', Preprint, arXiv:2304.00068 [math-ph] (2023) Full Text: arXiv OA License
Kawahigashi, Yasuyuki \(\alpha\)-induction for bi-unitary connections. arXiv:2302.05577 Preprint, arXiv:2302.05577 [math.QA] (2023). MSC: 46L37 18M15 18M20 81T40 BibTeX Cite \textit{Y. Kawahigashi}, ``$\alpha$-induction for bi-unitary connections'', Preprint, arXiv:2302.05577 [math.QA] (2023) Full Text: arXiv OA License
Grossman, Pinhas; Izumi, Masaki Drinfeld centers of fusion categories arising from generalized Haagerup subfactors. (English) Zbl 1520.46032 Quantum Topol. 13, No. 4, 593-668 (2022). MSC: 46L37 18M20 PDFBibTeX XMLCite \textit{P. Grossman} and \textit{M. Izumi}, Quantum Topol. 13, No. 4, 593--668 (2022; Zbl 1520.46032) Full Text: DOI arXiv
Liu, Zhengwei; Ryba, Christopher The Grothendieck ring of a family of spherical categories. (English) Zbl 1509.46041 Commun. Math. Phys. 396, No. 1, 315-348 (2022). MSC: 46L37 18B99 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{C. Ryba}, Commun. Math. Phys. 396, No. 1, 315--348 (2022; Zbl 1509.46041) Full Text: DOI arXiv
Chen, Quan; Hernández Palomares, Roberto; Jones, Corey; Penneys, David Q-system completion for \(C^\ast 2\)-categories. (English) Zbl 1498.46075 J. Funct. Anal. 283, No. 3, Article ID 109524, 59 p. (2022). MSC: 46M15 46L37 18M20 18N10 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Funct. Anal. 283, No. 3, Article ID 109524, 59 p. (2022; Zbl 1498.46075) Full Text: DOI arXiv
Giorgetti, Luca A planar algebraic description of conditional expectations. (English) Zbl 1497.46070 Int. J. Math. 33, No. 5, Article ID 2250037, 23 p. (2022). MSC: 46L37 46L10 18N10 PDFBibTeX XMLCite \textit{L. Giorgetti}, Int. J. Math. 33, No. 5, Article ID 2250037, 23 p. (2022; Zbl 1497.46070) Full Text: DOI arXiv
Bhattacharjee, Suvrajit; Chirvasitu, Alexandru; Goswami, Debashish Quantum Galois groups of subfactors. (English) Zbl 1506.16046 Int. J. Math. 33, No. 2, Article ID 2250013, 30 p. (2022). MSC: 16T20 16T15 46L37 18D20 PDFBibTeX XMLCite \textit{S. Bhattacharjee} et al., Int. J. Math. 33, No. 2, Article ID 2250013, 30 p. (2022; Zbl 1506.16046) Full Text: DOI arXiv
Huang, Linzhe; Liu, Zhengwei; Wu, Jinsong Quantum convolution inequalities on Frobenius von Neumann algebras. arXiv:2204.04401 Preprint, arXiv:2204.04401 [math.OA] (2022). MSC: 46L37 18N25 94A15 BibTeX Cite \textit{L. Huang} et al., ``Quantum convolution inequalities on Frobenius von Neumann algebras'', Preprint, arXiv:2204.04401 [math.OA] (2022) Full Text: arXiv OA License
Jones, Vaughan F. R.; Yang, Jun Motzkin algebras and the \(A_n\) tensor categories of bimodules. (English) Zbl 1486.46068 Int. J. Math. 32, No. 10, Article ID 2150077, 43 p. (2021). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 16G30 18M20 PDFBibTeX XMLCite \textit{V. F. R. Jones} and \textit{J. Yang}, Int. J. Math. 32, No. 10, Article ID 2150077, 43 p. (2021; Zbl 1486.46068) Full Text: DOI arXiv
Liu, Zhengwei; Palcoux, Sebastien; Wu, Jinsong Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification. (English) Zbl 1484.46079 Adv. Math. 390, Article ID 107905, 63 p. (2021). MSC: 46L89 18M20 16T10 43A99 PDFBibTeX XMLCite \textit{Z. Liu} et al., Adv. Math. 390, Article ID 107905, 63 p. (2021; Zbl 1484.46079) Full Text: DOI
Coles, Desmond; Huston, Peter; Penneys, David; Srinivas, Srivatsa The module embedding theorem via towers of algebras. (English) Zbl 1479.46074 J. Funct. Anal. 280, No. 11, Article ID 108965, 52 p. (2021). MSC: 46L37 16D90 18M15 46L08 PDFBibTeX XMLCite \textit{D. Coles} et al., J. Funct. Anal. 280, No. 11, Article ID 108965, 52 p. (2021; Zbl 1479.46074) Full Text: DOI arXiv
Tomatsu, Reiji Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras. (English) Zbl 1473.46077 Commun. Math. Phys. 383, No. 1, 71-152 (2021). MSC: 46L55 46L10 18M20 46L36 46M07 PDFBibTeX XMLCite \textit{R. Tomatsu}, Commun. Math. Phys. 383, No. 1, 71--152 (2021; Zbl 1473.46077) Full Text: DOI arXiv
Hardiman, Leonard Extending the trace of a pivotal monoidal functor. (English) Zbl 1460.81081 Commun. Math. Phys. 381, No. 3, 1055-1090 (2021). MSC: 81T40 18M20 13A35 81U20 46L37 46L60 PDFBibTeX XMLCite \textit{L. Hardiman}, Commun. Math. Phys. 381, No. 3, 1055--1090 (2021; Zbl 1460.81081) Full Text: DOI arXiv
Chen, Quan; Jones, Corey; Penneys, David A categorical Connes’ \(\chi(M)\). arXiv:2111.06378 Preprint, arXiv:2111.06378 [math.OA] (2021). MSC: 46L37 18M15 46M15 18M20 18M30 BibTeX Cite \textit{Q. Chen} et al., ``A categorical Connes' $\chi(M)$'', Preprint, arXiv:2111.06378 [math.OA] (2021) Full Text: arXiv OA License
Edie-Michell, Cain; Izumi, Masaki; Penneys, David Classification of \(\mathbb{Z}/2\mathbb{Z}\)-quadratic unitary fusion categories. arXiv:2108.01564 Preprint, arXiv:2108.01564 [math.QA] (2021). MSC: 18M20 46L37 18M30 BibTeX Cite \textit{C. Edie-Michell} et al., ``Classification of $\mathbb{Z}/2\mathbb{Z}$-quadratic unitary fusion categories'', Preprint, arXiv:2108.01564 [math.QA] (2021) Full Text: arXiv OA License
Penneys, David Unitary dual functors for unitary multitensor categories. (English) Zbl 1457.18019 High. Struct. 4, No. 2, 22-56 (2020). MSC: 18M05 46L37 18N10 PDFBibTeX XMLCite \textit{D. Penneys}, High. Struct. 4, No. 2, 22--56 (2020; Zbl 1457.18019) Full Text: arXiv
Aaserud, Andreas Næs; Evans, David E. Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules. (English) Zbl 1467.46056 Commun. Math. Phys. 380, No. 1, 103-130 (2020). MSC: 46L37 46L08 18M05 PDFBibTeX XMLCite \textit{A. N. Aaserud} and \textit{D. E. Evans}, Commun. Math. Phys. 380, No. 1, 103--130 (2020; Zbl 1467.46056) Full Text: DOI arXiv
Nojima, Ryo On induction for twisted representations of conformal nets. (English) Zbl 1448.81424 Ann. Henri Poincaré 21, No. 10, 3217-3251 (2020). MSC: 81T05 46L37 46L60 81T40 46N50 81R15 18M15 PDFBibTeX XMLCite \textit{R. Nojima}, Ann. Henri Poincaré 21, No. 10, 3217--3251 (2020; Zbl 1448.81424) Full Text: DOI arXiv
Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav Annular representations of free product categories. (English) Zbl 1469.46053 J. Noncommut. Geom. 14, No. 1, 223-250 (2020). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 18M15 46L09 46M15 PDFBibTeX XMLCite \textit{S. K. Ghosh} et al., J. Noncommut. Geom. 14, No. 1, 223--250 (2020; Zbl 1469.46053) Full Text: DOI arXiv
Jones, Corey; Penneys, David \(Q\)-systems and compact \(W^*\)-algebra objects. (English) Zbl 1455.46065 Bruillard, Paul (ed.) et al., Topological phases of matter and quantum computation. AMS special session, Bowdoin College, Brunswick, ME, USA, September 24–25, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 747, 63-88 (2020). MSC: 46L37 18M15 PDFBibTeX XMLCite \textit{C. Jones} and \textit{D. Penneys}, Contemp. Math. 747, 63--88 (2020; Zbl 1455.46065) Full Text: DOI arXiv
Liu, Zhengwei; Morrison, Scott; Penneys, David Lifting shadings on symmetrically self-dual subfactor planar algebras. (English) Zbl 1455.46066 Bruillard, Paul (ed.) et al., Topological phases of matter and quantum computation. AMS special session, Bowdoin College, Brunswick, ME, USA, September 24–25, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 747, 51-61 (2020). MSC: 46L37 18M15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Contemp. Math. 747, 51--61 (2020; Zbl 1455.46066) Full Text: DOI arXiv
Kawahigashi, Yasuyuki A remark on matrix product operator algebras, anyons and subfactors. (English) Zbl 1470.46089 Lett. Math. Phys. 110, No. 6, 1113-1122 (2020). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 81P40 81R10 18M05 PDFBibTeX XMLCite \textit{Y. Kawahigashi}, Lett. Math. Phys. 110, No. 6, 1113--1122 (2020; Zbl 1470.46089) Full Text: DOI arXiv
Bischoff, Marcel; Charlesworth, Ian; Evington, Samuel; Giorgetti, Luca; Penneys, David Distortion for multifactor bimodules and representations of multifusion categories. arXiv:2010.01067 Preprint, arXiv:2010.01067 [math.OA] (2020). MSC: 46L37 18M20 18M30 18N10 BibTeX Cite \textit{M. Bischoff} et al., ``Distortion for multifactor bimodules and representations of multifusion categories'', Preprint, arXiv:2010.01067 [math.OA] (2020) Full Text: arXiv OA License
Bisch, Dietmar (ed.); Gannon, Terry J. (ed.); Jones, Vaughan F. R. (ed.); Kawahigashi, Yasuyuki (ed.) Subfactors and applications. Abstracts from the workshop held October 27 – November 2, 2019. (English) Zbl 1454.00043 Oberwolfach Rep. 16, No. 4, 3053-3140 (2019). MSC: 00B05 00B25 17-06 46-06 81-06 17B37 17B69 18M05 46L37 46L60 47L90 81R15 81T05 81T40 PDFBibTeX XMLCite \textit{D. Bisch} (ed.) et al., Oberwolfach Rep. 16, No. 4, 3053--3140 (2019; Zbl 1454.00043) Full Text: DOI
Tucker, Henry Frobenius-Schur indicators for near-group and Haagerup-Izumi fusion categories. (English) Zbl 1442.18041 Pac. J. Math. 303, No. 1, 337-359 (2019). Reviewer: Paolo Saracco (Bruxelles) MSC: 18M20 16T05 46L37 PDFBibTeX XMLCite \textit{H. Tucker}, Pac. J. Math. 303, No. 1, 337--359 (2019; Zbl 1442.18041) Full Text: DOI arXiv
Kawahigashi, Yasuyuki The relative Drinfeld commutant of a fusion category and \(\alpha\)-induction. (English) Zbl 1443.46037 Int. Math. Res. Not. 2019, No. 20, 6304-6316 (2019). Reviewer: Liguang Wang (Qufu) MSC: 46L37 18M15 81T10 PDFBibTeX XMLCite \textit{Y. Kawahigashi}, Int. Math. Res. Not. 2019, No. 20, 6304--6316 (2019; Zbl 1443.46037) Full Text: DOI arXiv
Orendain, Juan Free globularly generated double categories. I. (English) Zbl 1435.18020 Theory Appl. Categ. 34, 1343-1385 (2019). Reviewer: Tobias Fritz (Waterloo) MSC: 18N10 18M05 46L37 PDFBibTeX XMLCite \textit{J. Orendain}, Theory Appl. Categ. 34, 1343--1385 (2019; Zbl 1435.18020) Full Text: arXiv Link
Grossman, Pinhas Fusion categories associated with subfactors with index \(3 + \sqrt{5}\). (English) Zbl 1431.18011 Indiana Univ. Math. J. 68, No. 4, 1277-1325 (2019). Reviewer: Gabriella Böhm (Budapest) MSC: 18M20 46L37 16D90 PDFBibTeX XMLCite \textit{P. Grossman}, Indiana Univ. Math. J. 68, No. 4, 1277--1325 (2019; Zbl 1431.18011) Full Text: DOI arXiv
Liu, Zhengwei; Xu, Feng Jones-Wassermann subfactors for modular tensor categories. (English) Zbl 1443.46038 Adv. Math. 355, Article ID 106775, 40 p. (2019). Reviewer: Jinsong Wu (Harbin) MSC: 46L37 18M20 16T05 81T40 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{F. Xu}, Adv. Math. 355, Article ID 106775, 40 p. (2019; Zbl 1443.46038) Full Text: DOI arXiv
Bartels, Arthur; Douglas, Christopher L.; Henriques, André Fusion of defects. (English) Zbl 1447.81001 Memoirs of the American Mathematical Society 1237. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3523-3/pbk; 978-1-4704-5065-6/ebook). vii, 100 p. (2019). MSC: 81-02 81T40 46L37 46M05 46L10 18M20 PDFBibTeX XMLCite \textit{A. Bartels} et al., Fusion of defects. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1447.81001) Full Text: DOI
Jones, Corey; Penneys, David Realizations of algebra objects and discrete subfactors. (English) Zbl 1426.46041 Adv. Math. 350, 588-661 (2019). MSC: 46L37 18M05 PDFBibTeX XMLCite \textit{C. Jones} and \textit{D. Penneys}, Adv. Math. 350, 588--661 (2019; Zbl 1426.46041) Full Text: DOI arXiv
Vaes, Stefaan; Valvekens, Matthias Property (T) discrete quantum groups and subfactors with triangle presentations. (English) Zbl 1441.20034 Adv. Math. 345, 382-428 (2019). Reviewer: Sven Raum (Stockholm) MSC: 20G42 46L37 46L67 18M05 51E24 PDFBibTeX XMLCite \textit{S. Vaes} and \textit{M. Valvekens}, Adv. Math. 345, 382--428 (2019; Zbl 1441.20034) Full Text: DOI arXiv Link
Liu, Zhengwei; Palcoux, Sebastien; Wu, Jinsong Fusion Bialgebras and Fourier Analysis. arXiv:1910.12059 Preprint, arXiv:1910.12059 [math.QA] (2019). MSC: 46L37 43A32 18M20 BibTeX Cite \textit{Z. Liu} et al., ``Fusion Bialgebras and Fourier Analysis'', Preprint, arXiv:1910.12059 [math.QA] (2019) Full Text: DOI arXiv OA License
Izumi, Masaki The classification of \(3^n\) subfactors and related fusion categories. (English) Zbl 1403.46048 Quantum Topol. 9, No. 3, 473-562 (2018). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{M. Izumi}, Quantum Topol. 9, No. 3, 473--562 (2018; Zbl 1403.46048) Full Text: DOI arXiv
Edie-Michell, Cain The Brauer-Picard groups of fusion categories coming from the ADE subfactors. (English) Zbl 1400.46050 Int. J. Math. 29, No. 5, Article ID 1850036, 43 p. (2018). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{C. Edie-Michell}, Int. J. Math. 29, No. 5, Article ID 1850036, 43 p. (2018; Zbl 1400.46050) Full Text: DOI arXiv
Kawahigashi, Yasuyuki A relative tensor product of subfactors over a modular tensor category. (English) Zbl 1386.81134 Lett. Math. Phys. 107, No. 11, 1963-1970 (2017). MSC: 81T40 46L37 18D10 PDFBibTeX XMLCite \textit{Y. Kawahigashi}, Lett. Math. Phys. 107, No. 11, 1963--1970 (2017; Zbl 1386.81134) Full Text: DOI arXiv
Kyed, David; Raum, Sven; Vaes, Stefaan; Valvekens, Matthias \(L^2\)-Betti numbers of rigid \(C^\ast\)-tensor categories and discrete quantum groups. (English) Zbl 1378.46056 Anal. PDE 10, No. 7, 1757-1791 (2017). Reviewer: Ralf Meyer (Göttingen) MSC: 46L89 17B37 20G42 46L37 16E40 18D10 PDFBibTeX XMLCite \textit{D. Kyed} et al., Anal. PDE 10, No. 7, 1757--1791 (2017; Zbl 1378.46056) Full Text: DOI arXiv
Henriques, André; Penneys, David Bicommutant categories from fusion categories. (English) Zbl 1434.18007 Sel. Math., New Ser. 23, No. 3, 1669-1708 (2017). MSC: 18M05 46L10 46L37 PDFBibTeX XMLCite \textit{A. Henriques} and \textit{D. Penneys}, Sel. Math., New Ser. 23, No. 3, 1669--1708 (2017; Zbl 1434.18007) Full Text: DOI arXiv
Morrison, Scott; Walker, Kevin The center of the extended Haagerup subfactor has 22 simple objects. (English) Zbl 1368.46052 Int. J. Math. 28, No. 1, Article ID 1750009, 11 p. (2017). Reviewer: Gabriella Böhm (Budapest) MSC: 46L37 18D05 18D10 57R56 81T40 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{K. Walker}, Int. J. Math. 28, No. 1, Article ID 1750009, 11 p. (2017; Zbl 1368.46052) Full Text: DOI arXiv Backlinks: MO
Bischoff, Marcel Generalized orbifold construction for conformal nets. (English) Zbl 1364.81213 Rev. Math. Phys. 29, No. 1, Article ID 1750002, 53 p. (2017). Reviewer: Yasuyuki Kawahigashi (Tokyo) MSC: 81T40 81R15 18D10 46L37 46L07 20N20 57R18 PDFBibTeX XMLCite \textit{M. Bischoff}, Rev. Math. Phys. 29, No. 1, Article ID 1750002, 53 p. (2017; Zbl 1364.81213) Full Text: DOI arXiv
Jones, Corey Quantum \(G_2\) categories have property (T). (English) Zbl 1375.18044 Int. J. Math. 27, No. 2, Article ID 1650015, 23 p. (2016). MSC: 18D10 47A67 17B37 PDFBibTeX XMLCite \textit{C. Jones}, Int. J. Math. 27, No. 2, Article ID 1650015, 23 p. (2016; Zbl 1375.18044) Full Text: DOI arXiv
Bischoff, Marcel A remark on CFT realization of quantum doubles of subfactors: case index \(<4\). (English) Zbl 1333.81364 Lett. Math. Phys. 106, No. 3, 341-363 (2016). MSC: 81T40 18D10 46L37 81R15 17B69 PDFBibTeX XMLCite \textit{M. Bischoff}, Lett. Math. Phys. 106, No. 3, 341--363 (2016; Zbl 1333.81364) Full Text: DOI arXiv
Grossman, Pinhas; Snyder, Noah The Brauer-Picard group of the Asaeda-Haagerup fusion categories. (English) Zbl 1354.46057 Trans. Am. Math. Soc. 368, No. 4, 2289-2331 (2016). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{P. Grossman} and \textit{N. Snyder}, Trans. Am. Math. Soc. 368, No. 4, 2289--2331 (2016; Zbl 1354.46057) Full Text: DOI arXiv
Bisch, Dietmar (ed.); Gannon, Terry J. (ed.); Jones, Vaughan F. R. (ed.); Kawahigashi, Yasuyuki (ed.) Subfactors and conformal field theory. Abstracts from the workshop held March 22–28, 2015. (English) Zbl 1380.00034 Oberwolfach Rep. 12, No. 2, 849-926 (2015). MSC: 00B05 00B25 17B69 18D10 46L37 46L60 47L90 81R15 81T05 81T40 46-06 81-06 PDFBibTeX XMLCite \textit{D. Bisch} (ed.) et al., Oberwolfach Rep. 12, No. 2, 849--926 (2015; Zbl 1380.00034) Full Text: DOI
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. (English) Zbl 1337.81103 Doc. Math. 20, 1137-1184 (2015). MSC: 81T40 18D10 81R15 46L37 PDFBibTeX XMLCite \textit{M. Bischoff} et al., Doc. Math. 20, 1137--1184 (2015; Zbl 1337.81103) Full Text: arXiv EMIS
Penneys, David; Peters, Emily Calculating two-strand jellyfish relations. (English) Zbl 1339.46060 Pac. J. Math. 277, No. 2, 463-510 (2015). MSC: 46L37 18D05 57M20 PDFBibTeX XMLCite \textit{D. Penneys} and \textit{E. Peters}, Pac. J. Math. 277, No. 2, 463--510 (2015; Zbl 1339.46060) Full Text: DOI arXiv
Jones, Vaughan F. R.; Penneys, David Infinite index subfactors and the GICAR categories. (English) Zbl 1338.46067 Commun. Math. Phys. 339, No. 2, 729-768 (2015). MSC: 46L37 46H25 18B99 PDFBibTeX XMLCite \textit{V. F. R. Jones} and \textit{D. Penneys}, Commun. Math. Phys. 339, No. 2, 729--768 (2015; Zbl 1338.46067) Full Text: DOI arXiv
Kawahigashi, Yasuyuki A remark on gapped domain walls between topological phases. (English) Zbl 1405.81046 Lett. Math. Phys. 105, No. 7, 893-899 (2015). MSC: 81R15 18D10 46L37 81T40 82B26 PDFBibTeX XMLCite \textit{Y. Kawahigashi}, Lett. Math. Phys. 105, No. 7, 893--899 (2015; Zbl 1405.81046) Full Text: DOI arXiv
Grossman, Pinhas; Jordan, David; Snyder, Noah Cyclic extensions of fusion categories via the Brauer-Picard groupoid. (English) Zbl 1318.18002 Quantum Topol. 6, No. 2, 313-331 (2015). Reviewer: Philippe Gaucher (Paris) MSC: 18D10 55S35 46L37 PDFBibTeX XMLCite \textit{P. Grossman} et al., Quantum Topol. 6, No. 2, 313--331 (2015; Zbl 1318.18002) Full Text: DOI arXiv
Morrison, Scott; Penneys, David Constructing spoke subfactors using the jellyfish algorithm. (English) Zbl 1360.46054 Trans. Am. Math. Soc. 367, No. 5, 3257-3298 (2015). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{D. Penneys}, Trans. Am. Math. Soc. 367, No. 5, 3257--3298 (2015; Zbl 1360.46054) Full Text: DOI arXiv
Izumi, Masaki; Morrison, Scott; Penneys, David; Peters, Emily; Snyder, Noah Subfactors of index exactly 5. (English) Zbl 1328.46048 Bull. Lond. Math. Soc. 47, No. 2, 257-269 (2015). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{M. Izumi} et al., Bull. Lond. Math. Soc. 47, No. 2, 257--269 (2015; Zbl 1328.46048) Full Text: DOI arXiv
Penneys, David Chirality and principal graph obstructions. (English) Zbl 1326.46049 Adv. Math. 273, 32-55 (2015). MSC: 46L37 18D05 57M20 PDFBibTeX XMLCite \textit{D. Penneys}, Adv. Math. 273, 32--55 (2015; Zbl 1326.46049) Full Text: DOI arXiv
Henriques, André Three-tier CFTs from Frobenius algebras. (English) Zbl 1322.81061 Stolz, Stephan (ed.), Topology and field theories. Center for Mathematics at Notre Dame. Summer school and conference, University of Notre Dame, Notre Dame, IN, USA, May 29 – June 8, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1015-5/pbk; 978-1-4704-1552-5/ebook). Contemporary Mathematics 613, 1-40 (2014). MSC: 81T08 16D90 18D05 46L37 81T40 81-01 PDFBibTeX XMLCite \textit{A. Henriques}, Contemp. Math. 613, 1--40 (2014; Zbl 1322.81061) Full Text: DOI arXiv
Morrison, Scott An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem. (English) Zbl 1303.46051 Bull. Lond. Math. Soc. 46, No. 3, 600-608 (2014). MSC: 46L37 18D05 57M20 PDFBibTeX XMLCite \textit{S. Morrison}, Bull. Lond. Math. Soc. 46, No. 3, 600--608 (2014; Zbl 1303.46051) Full Text: DOI arXiv
Evans, David E.; Gannon, Terry Near-group fusion categories and their doubles. (English) Zbl 1304.18017 Adv. Math. 255, 586-640 (2014). MSC: 18D10 46L37 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{T. Gannon}, Adv. Math. 255, 586--640 (2014; Zbl 1304.18017) Full Text: DOI arXiv
Bigelow, Stephen; Penneys, David Principal graph stability and the jellyfish algorithm. (English) Zbl 1302.46049 Math. Ann. 358, No. 1-2, 1-24 (2014). MSC: 46L37 57M20 18D05 PDFBibTeX XMLCite \textit{S. Bigelow} and \textit{D. Penneys}, Math. Ann. 358, No. 1--2, 1--24 (2014; Zbl 1302.46049) Full Text: DOI arXiv
Morrison, Scott; Snyder, Noah Non-cyclotomic fusion categories. (English) Zbl 1284.18016 Trans. Am. Math. Soc. 364, No. 9, 4713-4733 (2012). MSC: 18D10 46L37 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{N. Snyder}, Trans. Am. Math. Soc. 364, No. 9, 4713--4733 (2012; Zbl 1284.18016) Full Text: DOI arXiv
Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah Subfactors of index less than 5. III: Quadruple points. (English) Zbl 1272.46051 Commun. Math. Phys. 316, No. 2, 531-554 (2012). Reviewer: David Penneys (Toronto) MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{M. Izumi} et al., Commun. Math. Phys. 316, No. 2, 531--554 (2012; Zbl 1272.46051) Full Text: DOI arXiv
Wenzl, Hans Fusion symmetric spaces and subfactors. (English) Zbl 1264.46043 Pac. J. Math. 259, No. 2, 483-510 (2012). MSC: 46L36 46L10 46L65 18D99 PDFBibTeX XMLCite \textit{H. Wenzl}, Pac. J. Math. 259, No. 2, 483--510 (2012; Zbl 1264.46043) Full Text: DOI arXiv Link
Wenzl, Hans A \(q\)-Brauer algebra. (English) Zbl 1288.20007 J. Algebra 358, 102-127 (2012). Reviewer: Zhang Hechun (Beijing) MSC: 20C08 16S80 46L37 18D10 16W10 PDFBibTeX XMLCite \textit{H. Wenzl}, J. Algebra 358, 102--127 (2012; Zbl 1288.20007) Full Text: DOI arXiv
Bigelow, Stephen; Peters, Emily; Morrison, Scott; Snyder, Noah Constructing the extended Haagerup planar algebra. (English) Zbl 1270.46058 Acta Math. 209, No. 1, 29-82 (2012). Reviewer: Stephen Curran (Los Angeles) MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{S. Bigelow} et al., Acta Math. 209, No. 1, 29--82 (2012; Zbl 1270.46058) Full Text: DOI arXiv
Jones, Vaughan F. R. Quadratic tangles in planar algebras. (English) Zbl 1257.46033 Duke Math. J. 161, No. 12, 2257-2295 (2012). MSC: 46L37 18D50 16T99 57M27 PDFBibTeX XMLCite \textit{V. F. R. Jones}, Duke Math. J. 161, No. 12, 2257--2295 (2012; Zbl 1257.46033) Full Text: DOI arXiv Euclid
Morrison, Scott; Snyder, Noah Subfactors of index less than 5. I: The principal graph odometer. (English) Zbl 1246.46055 Commun. Math. Phys. 312, No. 1, 1-35 (2012). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{N. Snyder}, Commun. Math. Phys. 312, No. 1, 1--35 (2012; Zbl 1246.46055) Full Text: DOI arXiv
Evans, David E.; Pinto, Paulo R. Subfactor realization of modular invariants: II. (English) Zbl 1246.46053 Int. J. Math. 23, No. 3, Article ID 1250030, 33 p. (2012). MSC: 46L37 81R15 81T40 46L60 18D10 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{P. R. Pinto}, Int. J. Math. 23, No. 3, Article ID 1250030, 33 p. (2012; Zbl 1246.46053) Full Text: DOI
Penneys, David; Tener, James E. Subfactors of index less than 5. IV: Vines. (English) Zbl 1246.46056 Int. J. Math. 23, No. 3, Article ID 1250017, 18 p. (2012). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{D. Penneys} and \textit{J. E. Tener}, Int. J. Math. 23, No. 3, Article ID 1250017, 18 p. (2012; Zbl 1246.46056) Full Text: DOI arXiv
Morrison, Scott; Penneys, David; Peters, Emily; Snyder, Noah Subfactors of index less than 5. II: Triple points. (English) Zbl 1246.46054 Int. J. Math. 23, No. 3, Article ID 1250016, 33 p. (2012). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{S. Morrison} et al., Int. J. Math. 23, No. 3, Article ID 1250016, 33 p. (2012; Zbl 1246.46054) Full Text: DOI arXiv
Ghosh, Shamindra Kumar Planar algebras: a category theoretic point of view. (English) Zbl 1242.46071 J. Algebra 339, No. 1, 27-54 (2011). MSC: 46L37 46M15 18D05 PDFBibTeX XMLCite \textit{S. K. Ghosh}, J. Algebra 339, No. 1, 27--54 (2011; Zbl 1242.46071) Full Text: DOI arXiv
Jones, Vaughan F. R.; Penneys, David The embedding theorem for finite depth subfactor planar algebras. (English) Zbl 1230.46055 Quantum Topol. 2, No. 3, 301-337 (2011). MSC: 46L37 18D10 57M20 PDFBibTeX XMLCite \textit{V. F. R. Jones} and \textit{D. Penneys}, Quantum Topol. 2, No. 3, 301--337 (2011; Zbl 1230.46055) Full Text: DOI arXiv
Calegari, Frank; Morrison, Scott; Snyder, Noah Cyclotomic integers, fusion categories, and subfactors. (English) Zbl 1220.18004 Commun. Math. Phys. 303, No. 3, 845-896 (2011). Reviewer: Sonia Natale (Córdoba) MSC: 18D10 46L37 11R32 11R18 PDFBibTeX XMLCite \textit{F. Calegari} et al., Commun. Math. Phys. 303, No. 3, 845--896 (2011; Zbl 1220.18004) Full Text: DOI arXiv
Asaeda, Marta Tensor functors on a certain category constructed from spherical categories. (English) Zbl 1219.57013 J. Knot Theory Ramifications 20, No. 1, 1-46 (2011). Reviewer: Daniel Moskovich (Toronto) MSC: 57M27 46L37 81T05 18C20 18D35 57R56 PDFBibTeX XMLCite \textit{M. Asaeda}, J. Knot Theory Ramifications 20, No. 1, 1--46 (2011; Zbl 1219.57013) Full Text: DOI
Hong, Seung-Moon; Rowell, Eric; Wang, Zhenghan On exotic modular tensor categories. (English) Zbl 1160.18302 Commun. Contemp. Math. 10, Suppl. 1, 1049-1074 (2008). MSC: 18D10 46L37 17B37 81T40 PDFBibTeX XMLCite \textit{S.-M. Hong} et al., Commun. Contemp. Math. 10, 1049--1074 (2008; Zbl 1160.18302) Full Text: DOI arXiv
Kawahigashi, Yasuyuki (ed.); Ostrik, Viktor (ed.); Schweigert, Christoph (ed.) Working session: Conformal field theory. Abstracts from the session held April 1–7, 2007. (Arbeitsgemeinschaft: Conformal field theory.) (English) Zbl 1177.81009 Oberwolfach Rep. 4, No. 2, 945-994 (2007). MSC: 81-06 81T40 20G42 18D10 46L37 00B05 PDFBibTeX XMLCite \textit{Y. Kawahigashi} (ed.) et al., Oberwolfach Rep. 4, No. 2, 945--994 (2007; Zbl 1177.81009) Full Text: DOI Link
Pinto, Paulo R. Simple current modular invariants from braided subfactors. (English) Zbl 1152.81853 Chaos Solitons Fractals 33, No. 1, 135-142 (2007). MSC: 81R15 18D10 46L37 PDFBibTeX XMLCite \textit{P. R. Pinto}, Chaos Solitons Fractals 33, No. 1, 135--142 (2007; Zbl 1152.81853) Full Text: DOI
Erlijman, Juliana; Wenzl, Hans Subfactors from braided \(C^*\) tensor categories. (English) Zbl 1152.46051 Pac. J. Math. 231, No. 2, 361-399 (2007). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{J. Erlijman} and \textit{H. Wenzl}, Pac. J. Math. 231, No. 2, 361--399 (2007; Zbl 1152.46051) Full Text: DOI
Müger, Michael Conformal orbifold theories and braided crossed \(G\)-categories. (English) Zbl 1160.81454 Commun. Math. Phys. 260, No. 3, 727-762 (2005). MSC: 81T40 18D10 46L37 57R56 81R15 81T05 PDFBibTeX XMLCite \textit{M. Müger}, Commun. Math. Phys. 260, No. 3, 727--762 (2005; Zbl 1160.81454) Full Text: DOI arXiv
Kawahigashi, Yasuyuki; Sato, Nobuya; Wakui, Michihisa \((2+1)\)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants. (English) Zbl 1092.57021 Adv. Math. 195, No. 1, 165-204 (2005). MSC: 57R56 81T45 46L37 57M27 18D10 PDFBibTeX XMLCite \textit{Y. Kawahigashi} et al., Adv. Math. 195, No. 1, 165--204 (2005; Zbl 1092.57021) Full Text: DOI arXiv
Yamagami, Shigeru Frobenius duality in \(C^*\)-tensor categories. (English) Zbl 1078.46045 J. Oper. Theory 52, No. 1, 3-20 (2004). MSC: 46L37 18D15 PDFBibTeX XMLCite \textit{S. Yamagami}, J. Oper. Theory 52, No. 1, 3--20 (2004; Zbl 1078.46045)
Yamagami, Shigeru Frobenius algebras in tensor categories and bimodule extensions. (English) Zbl 1079.18004 Janelidze, George (ed.) et al., Galois theory, Hopf algebras, and semiabelian categories. Papers from the workshop on categorical structures for descent and Galois theory, Hopf algebras, and semiabelian categories, Toronto, ON, Canada, September 23–28, 2002. (ISBN 0-8218-3290-5/hbk). Fields Institute Communications 43, 551-570 (2004). Reviewer: Akrur Behera (Rourkela) MSC: 18D10 46L37 PDFBibTeX XMLCite \textit{S. Yamagami}, Fields Inst. Commun. 43, 551--570 (2004; Zbl 1079.18004)
Kodiyalam, Vijay; Sunder, V. S. A complete set of numerical invariants for a subfactor. (English) Zbl 1083.46036 J. Funct. Anal. 212, No. 1, 1-27 (2004). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L37 16W30 18D50 PDFBibTeX XMLCite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, J. Funct. Anal. 212, No. 1, 1--27 (2004; Zbl 1083.46036) Full Text: DOI
Andersen, J. E.; Askitas, N.; Bar-Natan, D.; Baseilhac, S.; Benedetti, R.; Bigelow, S.; Boileau, M.; Bott, R.; Carter, J. S.; Deloup, F.; Dunfield, N.; Fenn, R.; Ferrand, E.; Garoufalidis, S.; Goussarov, M.; Guadagnini, E.; Habiro, H.; Hansen, S. K.; Harikae, T.; Haviv, A.; Jeong, M. -J.; Jones, V.; Kashaev, R.; Kawahigashi, Y.; Kerler, T.; Kidwell, M.; Kohno, T.; Kricker, A.; Le, T. T. Q.; Lescop, C.; Lin, X. -S.; Masbaum, G.; Massuyeau, G.; Morita, S.; Morton, H. R.; Murakami, H.; Murakami, J.; Nakanishi, Y.; Ohtsuki, T.; Ohyama, Y.; Okamoto, M.; Okuda, N.; Park, C. -Y.; Pilo, L.; Polyak, M.; Przytycki, J.; Roberts, J.; Rourke, C.; Rozansky, L.; Sanderson, B.; Sato, N.; Shinohara, Y.; Stanford, T.; Stoimenow, A.; Takata, T.; Thurston, D.; Turaev, V.; Viro, O.; Willerton, S.; Yokota, Y. Problems on invariants of knots and 3-manifolds. arXiv:math/0406190 Preprint, arXiv:math/0406190 [math.GT] (2004). MSC: 20F36 57M25 57M27 57R56 13B25 17B10 17B37 18D10 20C08 20G42 22E99 41A60 46L37 57M05 57M50 57N10 57Q10 81T18 81T45 BibTeX Cite \textit{J. E. Andersen} et al., ``Problems on invariants of knots and 3-manifolds'', Preprint, arXiv:math/0406190 [math.GT] (2004) Full Text: arXiv
Schauenburg, Peter Morita base change in quantum groupoids. (English) Zbl 1171.16305 Vainerman, Leonid (ed.), Locally compact quantum groups and groupoids. Proceedings of the 69th meeting of theoretical physicists and mathematicians, Strasbourg, France, February 21–23, 2002. Berlin: Walter de Gruyter (ISBN 3-11-017690-4/pbk). IRMA Lect. Math. Theor. Phys. 2, 79-103 (2003). MSC: 16W30 16W35 18D10 46L37 PDFBibTeX XMLCite \textit{P. Schauenburg}, IRMA Lect. Math. Theor. Phys. 2, 79--103 (2003; Zbl 1171.16305) Full Text: arXiv
Evans, David E.; Pinto, Paulo R. Modular invariants and their fusion rules. (English) Zbl 1140.81408 Price, Geoffrey L. (ed.) et al., Advances in quantum dynamics. AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 16–20, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3215-8/pbk). Contemp. Math. 335, 119-130 (2003). MSC: 81R15 46L37 18D10 46L60 81T40 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{P. R. Pinto}, Contemp. Math. 335, 119--130 (2003; Zbl 1140.81408) Full Text: arXiv
Khoshkam, M.; Mashood, B. Rigidity in commuting squares. (English) Zbl 1050.46047 N. Z. J. Math. 32, No. 1, 37-56 (2003). MSC: 46L37 18D10 PDFBibTeX XMLCite \textit{M. Khoshkam} and \textit{B. Mashood}, N. Z. J. Math. 32, No. 1, 37--56 (2003; Zbl 1050.46047)
Kodiyalam, Vijay; Landau, Zeph; Sunder, V. S. The planar algebra associated to a Kac algebra. (English) Zbl 1039.46049 Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 15-51 (2003); erratum 118, No. 2., 319 (2008). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L37 16W30 18D50 PDFBibTeX XMLCite \textit{V. Kodiyalam} et al., Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 15--51 (2003; Zbl 1039.46049) Full Text: DOI
Nikshych, Dmitri; Turaev, Vladimir; Vainerman, Leonid Invariants of knots and 3-manifolds from quantum groupoids. (English) Zbl 1021.16026 Topology Appl. 127, No. 1-2, 91-123 (2003). Reviewer: Zhang Hechun (Beijing) MSC: 16W30 57M27 46L37 18D10 PDFBibTeX XMLCite \textit{D. Nikshych} et al., Topology Appl. 127, No. 1--2, 91--123 (2003; Zbl 1021.16026) Full Text: DOI arXiv
Müger, Michael From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories. (English) Zbl 1033.18002 J. Pure Appl. Algebra 180, No. 1-2, 81-157 (2003). Reviewer: Ross H. Street (North Ryde) MSC: 18D10 18D05 46L37 PDFBibTeX XMLCite \textit{M. Müger}, J. Pure Appl. Algebra 180, No. 1--2, 81--157 (2003; Zbl 1033.18002) Full Text: DOI arXiv
Müger, Michael From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors. (English) Zbl 1033.18003 J. Pure Appl. Algebra 180, No. 1-2, 159-219 (2003). Reviewer: Ross H. Street (North Ryde) MSC: 18D10 18D05 46L37 PDFBibTeX XMLCite \textit{M. Müger}, J. Pure Appl. Algebra 180, No. 1--2, 159--219 (2003; Zbl 1033.18003) Full Text: DOI arXiv