Chen, Quan; Jones, Corey; Penneys, David A categorical Connes’ \(\chi (M)\). (English) Zbl 1541.18024 Math. Ann. 389, No. 3, 2051-2121 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M15 46L37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Quan Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules. (English) Zbl 1541.18025 Doc. Math. 29, No. 2, 247-341 (2024). Reviewer: Tobias Fritz (Innsbruck) MSC: 18M20 18M30 18N10 46L37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Crann, Jason; Kribs, David W.; Pereira, Rajesh Orthogonal unitary bases and a subfactor conjecture. (English) Zbl 1523.46048 Proc. Am. Math. Soc. 151, No. 9, 3793-3799 (2023). Reviewer: Zhengwei Liu (Beijing) MSC: 46L37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Montgomery, Michael Colored planar algebras for commuting squares and applications to Hadamard subfactors. (English) Zbl 1526.46041 J. Funct. Anal. 285, No. 5, Article ID 110010, 56 p. (2023). MSC: 46L37 × Cite Format Result Cite Review PDF Full Text: DOI
Conlon, Alexandre; Crann, Jason; Kribs, David W.; Levene, Rupert H. Quantum teleportation in the commuting operator framework. (English) Zbl 1522.46037 Ann. Henri Poincaré 24, No. 5, 1779-1821 (2023). MSC: 46L10 46L30 46N50 47L90 81P40 81P45 81R15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henriques, André Gil; Penneys, David; Tener, James Planar algebras in braided tensor categories. (English) Zbl 07653273 Memoirs of the American Mathematical Society 1392. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5540-8/pbk; 978-1-4704-7348-8/ebook). vi, 100 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18-02 18M20 18M15 16S99 18M75 57K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bischoff, Marcel; Del Vecchio, Simone; Giorgetti, Luca Galois correspondence and Fourier analysis on local discrete subfactors. (English) Zbl 1502.46050 Ann. Henri Poincaré 23, No. 8, 2979-3020 (2022). MSC: 46L37 81T99 43A62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aiello, Valeriano; Brothier, Arnaud; Conti, Roberto Jones representations of Thompson’s group \(F\) arising from Temperley-Lieb-Jones algebras. (English) Zbl 1497.46068 Int. Math. Res. Not. 2021, No. 15, 11209-11245 (2021). Reviewer: Liguang Wang (Qufu) MSC: 46L37 20F69 22D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI 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 × Cite Format Result Cite Review PDF Full Text: arXiv
Jones, Corey; Penneys, David Realizations of algebra objects and discrete subfactors. (English) Zbl 1426.46041 Adv. Math. 350, 588-661 (2019). MSC: 46L37 18M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tarrago, Pierre; Wahl, Jonas Free wreath product quantum groups and standard invariants of subfactors. (English) Zbl 1401.46042 Adv. Math. 331, 1-57 (2018). MSC: 46L37 46L89 46L09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakshi, Keshab Chandra On Pimsner-Popa bases. (English) Zbl 1378.46046 Proc. Indian Acad. Sci., Math. Sci. 127, No. 1, 117-132 (2017). MSC: 46L37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brothier, Arnaud On fixed point planar algebras. (English) Zbl 1370.46032 J. Math. Phys. 57, No. 11, 111703, 24 p. (2016). MSC: 46L10 46L37 05C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhengwei Exchange relation planar algebras of small rank. (English) Zbl 1365.46053 Trans. Am. Math. Soc. 368, No. 12, 8303-8348 (2016). MSC: 46L37 46L10 20C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morrison, Scott; Penneys, David 2-supertransitive subfactors at index \(3 + \sqrt{5}\). (English) Zbl 1341.46034 J. Funct. Anal. 269, No. 9, 2845-2870 (2015). MSC: 46L37 05C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhengwei Composed inclusions of \(A_3\) and \(A_4\) subfactors. (English) Zbl 1330.46061 Adv. Math. 279, 307-371 (2015). MSC: 46L37 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhengwei; Morrison, Scott; Penneys, David 1-supertransitive subfactors with index at most \(6\frac{1}{5}\). (English) Zbl 1330.46062 Commun. Math. Phys. 334, No. 2, 889-922 (2015). MSC: 46L37 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah The classification of subfactors of index at most 5. (English) Zbl 1301.46039 Bull. Am. Math. Soc., New Ser. 51, No. 2, 277-327 (2014). MSC: 46L37 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Penneys, David A planar calculus for infinite index subfactors. (English) Zbl 1275.46049 Commun. Math. Phys. 319, No. 3, 595-648 (2013). MSC: 46L37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P. Loop models, random matrices and planar algebras. (English) Zbl 1277.82013 Commun. Math. Phys. 316, No. 1, 45-97 (2012). Reviewer: Haru Pinson (Tucson) MSC: 82B20 15B52 60B20 46L53 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv