Liu, Zhengwei; Palcoux, Sebastien; Ren, Yunxiang Interpolated family of non-group-like simple integral fusion rings of Lie type. (English) Zbl 07691106 Int. J. Math. 34, No. 6, Article ID 2350030, 51 p. (2023). MSC: 46L37 18M20 20C33 20D06 PDF BibTeX XML Cite \textit{Z. Liu} et al., Int. J. Math. 34, No. 6, Article ID 2350030, 51 p. (2023; Zbl 07691106) Full Text: DOI arXiv OpenURL
Harding, J. Quantum monadic algebras. (English) Zbl 07649086 J. Phys. A, Math. Theor. 55, No. 39, Article ID 394001, 27 p. (2022). MSC: 03-XX 46-XX PDF BibTeX XML Cite \textit{J. Harding}, J. Phys. A, Math. Theor. 55, No. 39, Article ID 394001, 27 p. (2022; Zbl 07649086) Full Text: DOI arXiv OpenURL
Bakshi, Keshab Chandra; Gupta, Ved Prakash A few remarks on Pimsner-Popa bases and regular subfactors of depth 2. (English) Zbl 1506.46049 Glasg. Math. J. 64, No. 3, 586-602 (2022). Reviewer: Liguang Wang (Qufu) MSC: 46L37 46L67 PDF BibTeX XML Cite \textit{K. C. Bakshi} and \textit{V. P. Gupta}, Glasg. Math. J. 64, No. 3, 586--602 (2022; Zbl 1506.46049) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Bischoff} et al., Ann. Henri Poincaré 23, No. 8, 2979--3020 (2022; Zbl 1502.46050) Full Text: DOI arXiv OpenURL
Valvekens, Matthias \(L^2\)-Betti numbers of \(C^*\)-tensor categories associated with totally disconnected groups. (English) Zbl 1500.46049 Int. Math. Res. Not. 2022, No. 14, 10704-10766 (2022). Reviewer: Sven Raum (Stockholm) MSC: 46L10 18M20 55N99 20F65 22D55 PDF BibTeX XML Cite \textit{M. Valvekens}, Int. Math. Res. Not. 2022, No. 14, 10704--10766 (2022; Zbl 1500.46049) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Q. Chen} et al., J. Funct. Anal. 283, No. 3, Article ID 109524, 59 p. (2022; Zbl 1498.46075) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Bhattacharjee} et al., Int. J. Math. 33, No. 2, Article ID 2250013, 30 p. (2022; Zbl 1506.16046) Full Text: DOI arXiv OpenURL
Bakshi, Keshab Chandra; Kodiyalam, Vijay Commuting squares and planar subalgebras. (English) Zbl 07606482 J. Oper. Theory 86, No. 1, 145-161 (2021). MSC: 46L37 PDF BibTeX XML Cite \textit{K. C. Bakshi} and \textit{V. Kodiyalam}, J. Oper. Theory 86, No. 1, 145--161 (2021; Zbl 07606482) Full Text: DOI arXiv OpenURL
Jiang, Yongle Maximal von Neumann subalgebras arising from maximal subgroups. (English) Zbl 1486.46063 Sci. China, Math. 64, No. 10, 2295-2312 (2021). MSC: 46L10 20B22 PDF BibTeX XML Cite \textit{Y. Jiang}, Sci. China, Math. 64, No. 10, 2295--2312 (2021; Zbl 1486.46063) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Jones, V. F. R. Planar algebras. I. (English) Zbl 1484.46067 N. Z. J. Math. 52, 1-107 (2021). MSC: 46L37 PDF BibTeX XML Cite \textit{V. F. R. Jones}, N. Z. J. Math. 52, 1--107 (2021; Zbl 1484.46067) Full Text: DOI Backlinks: MO OpenURL
Kawahigashi, Yasuyuki Two-dimensional topological order and operator algebras. (English) Zbl 1462.81001 Int. J. Mod. Phys. B 35, No. 8, Article ID 2130003, 16 p. (2021). MSC: 81-02 81T05 81R15 81T40 PDF BibTeX XML Cite \textit{Y. Kawahigashi}, Int. J. Mod. Phys. B 35, No. 8, Article ID 2130003, 16 p. (2021; Zbl 1462.81001) Full Text: DOI arXiv OpenURL
Hu, Xiaoyu; Shi, Rui; Xu, Feng On a composition of subfactors with group subfactors. (English) Zbl 1479.46075 Sci. China, Math. 64, No. 2, 373-384 (2021). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 PDF BibTeX XML Cite \textit{X. Hu} et al., Sci. China, Math. 64, No. 2, 373--384 (2021; Zbl 1479.46075) Full Text: DOI Backlinks: MO OpenURL
Boltaev, Kh. Kh. Index of real subfactors and graphs of real W\(^\ast\)-subalgebras. (English) Zbl 1488.46099 Uzb. Math. J. 2020, No. 3, 47-55 (2020). MSC: 46L10 46L37 PDF BibTeX XML Cite \textit{Kh. Kh. Boltaev}, Uzb. Math. J. 2020, No. 3, 47--55 (2020; Zbl 1488.46099) OpenURL
Gao, Li; Junge, Marius; LaRacuente, Nicholas Relative entropy for von Neumann subalgebras. (English) Zbl 1471.46063 Int. J. Math. 31, No. 6, Article ID 2050046, 35 p. (2020). MSC: 46L53 46L60 46L37 46L51 PDF BibTeX XML Cite \textit{L. Gao} et al., Int. J. Math. 31, No. 6, Article ID 2050046, 35 p. (2020; Zbl 1471.46063) Full Text: DOI arXiv OpenURL
Kodiyalam, Vijay; Sruthymurali; Sunder, V. S. Planar algebras, quantum information theory and subfactors. (English) Zbl 1476.46065 Int. J. Math. 31, No. 14, Article ID 2050124, 21 p. (2020). MSC: 46L37 81P45 81P68 PDF BibTeX XML Cite \textit{V. Kodiyalam} et al., Int. J. Math. 31, No. 14, Article ID 2050124, 21 p. (2020; Zbl 1476.46065) Full Text: DOI arXiv OpenURL
Palcoux, Sebastien Ore’s theorem on subfactor planar algebras. (English) Zbl 1469.46054 Quantum Topol. 11, No. 3, 525-543 (2020). MSC: 46L37 05E16 06D10 20C15 05E10 PDF BibTeX XML Cite \textit{S. Palcoux}, Quantum Topol. 11, No. 3, 525--543 (2020; Zbl 1469.46054) Full Text: DOI arXiv OpenURL
Bakshi, Keshab Chandra; Gupta, Ved Prakash On orthogonal systems, two-sided bases, and regular subfactors. (English) Zbl 1470.46088 New York J. Math. 26, 817-835 (2020). Reviewer: Liguang Wang (Qufu) MSC: 46L37 PDF BibTeX XML Cite \textit{K. C. Bakshi} and \textit{V. P. Gupta}, New York J. Math. 26, 817--835 (2020; Zbl 1470.46088) Full Text: arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{C. Jones} and \textit{D. Penneys}, Contemp. Math. 747, 63--88 (2020; Zbl 1455.46065) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Y. Kawahigashi}, Lett. Math. Phys. 110, No. 6, 1113--1122 (2020; Zbl 1470.46089) Full Text: DOI arXiv OpenURL
Di, Zhenxing; Liu, Zhongkui; Wei, Jiaqun On triangle equivalences of stable categories. (English) Zbl 1451.13050 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 955-974 (2020). Reviewer: Li Liang (Lanzhou) MSC: 13D05 16E35 18G25 18G80 PDF BibTeX XML Cite \textit{Z. Di} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 955--974 (2020; Zbl 1451.13050) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Tucker}, Pac. J. Math. 303, No. 1, 337--359 (2019; Zbl 1442.18041) Full Text: DOI arXiv OpenURL
Bakshi, Keshab Chandra; Gupta, Ved Prakash A note on irreducible quadrilaterals of \(II_1\) factors. (English) Zbl 1439.46050 Int. J. Math. 30, No. 12, Article ID 1950061, 22 p. (2019). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 47L65 PDF BibTeX XML Cite \textit{K. C. Bakshi} and \textit{V. P. Gupta}, Int. J. Math. 30, No. 12, Article ID 1950061, 22 p. (2019; Zbl 1439.46050) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Grossman}, Indiana Univ. Math. J. 68, No. 4, 1277--1325 (2019; Zbl 1431.18011) Full Text: DOI arXiv OpenURL
Gannon, Terry Reconstruction. I: The classical part of a vertex operator algebra. (English) Zbl 1440.17022 Izumi, Masaki (ed.) et al., Operator algebras and mathematical physics. Proceedings of the 9th international conference on operator algebras and mathematical physics, Tohoku University, Sendai, Japan, August 1–12, 2016. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 80, 71-107 (2019). Reviewer: Sven Möller (Piscataway) MSC: 17B69 18M15 PDF BibTeX XML Cite \textit{T. Gannon}, Adv. Stud. Pure Math. 80, 71--107 (2019; Zbl 1440.17022) Full Text: DOI Euclid OpenURL
Popa, Sorin; Shlyakhtenko, Dimitri; Vaes, Stefaan Cohomology and \(L^2\)-Betti numbers for subfactors and quasi-regular inclusions. (English) Zbl 1415.46042 Int. Math. Res. Not. 2018, No. 8, 2241-2331 (2018). MSC: 46L37 55N99 PDF BibTeX XML Cite \textit{S. Popa} et al., Int. Math. Res. Not. 2018, No. 8, 2241--2331 (2018; Zbl 1415.46042) Full Text: DOI arXiv OpenURL
Banica, Teodor The planar algebra of a fixed point subfactor. (English) Zbl 1414.46048 Ann. Math. Blaise Pascal 25, No. 2, 247-264 (2018). MSC: 46L65 46L37 PDF BibTeX XML Cite \textit{T. Banica}, Ann. Math. Blaise Pascal 25, No. 2, 247--264 (2018; Zbl 1414.46048) Full Text: DOI arXiv OpenURL
Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav Free oriented extensions of subfactor planar algebras. (English) Zbl 1414.46044 Int. J. Math. 29, No. 13, Article ID 1850093, 33 p. (2018). MSC: 46L37 46M15 PDF BibTeX XML Cite \textit{S. K. Ghosh} et al., Int. J. Math. 29, No. 13, Article ID 1850093, 33 p. (2018; Zbl 1414.46044) Full Text: DOI arXiv OpenURL
Brannan, Michael; Collins, Benoît Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. (English) Zbl 1412.46078 Quantum Topol. 9, No. 4, 715-748 (2018). MSC: 46L37 57M99 16T05 46L54 46L89 PDF BibTeX XML Cite \textit{M. Brannan} and \textit{B. Collins}, Quantum Topol. 9, No. 4, 715--748 (2018; Zbl 1412.46078) Full Text: DOI arXiv OpenURL
Grossman, Pinhas; Izumi, Masaki; Snyder, Noah The Asaeda-Haagerup fusion categories. (English) Zbl 1405.46046 J. Reine Angew. Math. 743, 261-305 (2018). MSC: 46L37 PDF BibTeX XML Cite \textit{P. Grossman} et al., J. Reine Angew. Math. 743, 261--305 (2018; Zbl 1405.46046) Full Text: DOI arXiv OpenURL
Palcoux, Sébastien Euler totient of subfactor planar algebras. (English) Zbl 1404.46054 Proc. Am. Math. Soc. 146, No. 11, 4775-4786 (2018). MSC: 46L37 05E10 05E15 06B15 20C15 20D30 PDF BibTeX XML Cite \textit{S. Palcoux}, Proc. Am. Math. Soc. 146, No. 11, 4775--4786 (2018; Zbl 1404.46054) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R. Scale invariant transfer matrices and Hamiltionians. (English) Zbl 1387.82010 J. Phys. A, Math. Theor. 51, No. 10, Article ID 104001, 27 p. (2018). MSC: 82B20 82B28 PDF BibTeX XML Cite \textit{V. F. R. Jones}, J. Phys. A, Math. Theor. 51, No. 10, Article ID 104001, 27 p. (2018; Zbl 1387.82010) Full Text: DOI arXiv OpenURL
Palcoux, Sebastien Ore’s theorem on cyclic subfactor planar algebras and beyond. (English) Zbl 1386.46047 Pac. J. Math. 292, No. 1, 203-221 (2018). MSC: 46L37 06D10 16T99 20C15 20D30 PDF BibTeX XML Cite \textit{S. Palcoux}, Pac. J. Math. 292, No. 1, 203--221 (2018; Zbl 1386.46047) Full Text: DOI arXiv OpenURL
Gannon, Terry; Morrison, Scott Modular data for the extended Haagerup subfactor. (English) Zbl 1431.46044 Commun. Math. Phys. 356, No. 3, 981-1015 (2017). MSC: 46L37 PDF BibTeX XML Cite \textit{T. Gannon} and \textit{S. Morrison}, Commun. Math. Phys. 356, No. 3, 981--1015 (2017; Zbl 1431.46044) Full Text: DOI arXiv OpenURL
Evans, D. Gwion; Gohm, Rolf; Köstler, Claus Semi-cosimplicial objects and spreadability. (English) Zbl 1401.18039 Rocky Mt. J. Math. 47, No. 6, 1839-1873 (2017). MSC: 18G30 20F36 46L53 PDF BibTeX XML Cite \textit{D. G. Evans} et al., Rocky Mt. J. Math. 47, No. 6, 1839--1873 (2017; Zbl 1401.18039) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \textit{Y. Kawahigashi}, Lett. Math. Phys. 107, No. 11, 1963--1970 (2017; Zbl 1386.81134) Full Text: DOI arXiv OpenURL
Masuda, Toshihiko A simple sufficient condition for triviality of obstructions in the orbifold construction for subfactors. (English) Zbl 1430.46046 Math. Scand. 121, No. 1, 101-110 (2017). MSC: 46L37 PDF BibTeX XML Cite \textit{T. Masuda}, Math. Scand. 121, No. 1, 101--110 (2017; Zbl 1430.46046) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{K. C. Bakshi}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 1, 117--132 (2017; Zbl 1378.46046) Full Text: DOI arXiv OpenURL
Evans, David E.; Gannon, Terry Non-unitary fusion categories and their doubles via endomorphisms. (English) Zbl 1362.81083 Adv. Math. 310, 1-43 (2017). MSC: 81T40 81T05 46L05 46L60 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{T. Gannon}, Adv. Math. 310, 1--43 (2017; Zbl 1362.81083) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Jones, Vaughan F. R. Some unitary representations of Thompson’s groups \(F\) and \(T\). (English) Zbl 1472.57014 J. Comb. Algebra 1, No. 1, 1-44 (2017). MSC: 57K16 20F38 46L37 81T40 PDF BibTeX XML Cite \textit{V. F. R. Jones}, J. Comb. Algebra 1, No. 1, 1--44 (2017; Zbl 1472.57014) Full Text: DOI arXiv OpenURL
Bisch, Dietmar; Jones, Vaughan F. R.; Liu, Zhengwei Singly generated planar algebras of small dimension. III. (English) Zbl 1370.46036 Trans. Am. Math. Soc. 369, No. 4, 2461-2476 (2017). MSC: 46L37 46L10 PDF BibTeX XML Cite \textit{D. Bisch} et al., Trans. Am. Math. Soc. 369, No. 4, 2461--2476 (2017; Zbl 1370.46036) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Brothier}, J. Math. Phys. 57, No. 11, 111703, 24 p. (2016; Zbl 1370.46032) Full Text: DOI arXiv OpenURL
Izumi, Masaki; Morrison, Scott; Penneys, David Quotients of \(A_2 * T_2\). (English) Zbl 1364.46055 Can. J. Math. 68, No. 5, 999-1022 (2016). MSC: 46L37 PDF BibTeX XML Cite \textit{M. Izumi} et al., Can. J. Math. 68, No. 5, 999--1022 (2016; Zbl 1364.46055) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Z. Liu}, Trans. Am. Math. Soc. 368, No. 12, 8303--8348 (2016; Zbl 1365.46053) Full Text: DOI arXiv OpenURL
Xu, Jinde; Zhou, Panyue; Ouyang, Baiyu Mutation pairs in abelian categories. (English) Zbl 1355.18009 Commun. Algebra 44, No. 7, 2732-2746 (2016). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18E30 16G10 18E10 PDF BibTeX XML Cite \textit{J. Xu} et al., Commun. Algebra 44, No. 7, 2732--2746 (2016; Zbl 1355.18009) Full Text: DOI OpenURL
Kodiyalam, Vijay; Tupurani, Srikanth Generators for finite depth subfactor planar algebras. (English) Zbl 1356.46048 Proc. Indian Acad. Sci., Math. Sci. 126, No. 2, 235-240 (2016). MSC: 46L37 57M99 PDF BibTeX XML Cite \textit{V. Kodiyalam} and \textit{S. Tupurani}, Proc. Indian Acad. Sci., Math. Sci. 126, No. 2, 235--240 (2016; Zbl 1356.46048) Full Text: DOI arXiv OpenURL
Das, Paramita; Ghosh, Shamindra Kumar; Gupta, Ved Prakash Affine modules and the Drinfeld center. (English) Zbl 1355.46052 Math. Scand. 118, No. 1, 119-151 (2016). MSC: 46L37 PDF BibTeX XML Cite \textit{P. Das} et al., Math. Scand. 118, No. 1, 119--151 (2016; Zbl 1355.46052) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Bischoff}, Lett. Math. Phys. 106, No. 3, 341--363 (2016; Zbl 1333.81364) Full Text: DOI arXiv OpenURL
Jiang, Chunlan; Liu, Zhengwei; Wu, Jinsong Noncommutative uncertainty principles. (English) Zbl 1352.46062 J. Funct. Anal. 270, No. 1, 264-311 (2016). MSC: 46L37 43A30 94A15 PDF BibTeX XML Cite \textit{C. Jiang} et al., J. Funct. Anal. 270, No. 1, 264--311 (2016; Zbl 1352.46062) Full Text: DOI arXiv OpenURL
Brothier, Arnaud; Vaes, Stefaan Families of hyperfinite subfactors with the same standard invariant and prescribed fundamental group. (English) Zbl 1342.46059 J. Noncommut. Geom. 9, No. 3, 775-796 (2015). MSC: 46L37 46L36 46L55 PDF BibTeX XML Cite \textit{A. Brothier} and \textit{S. Vaes}, J. Noncommut. Geom. 9, No. 3, 775--796 (2015; Zbl 1342.46059) Full Text: DOI arXiv OpenURL
Popa, Sorin; Vaes, Stefaan Representation theory for subfactors, \(\lambda\)-lattices and \(C^\ast\)-tensor categories. (English) Zbl 1335.46055 Commun. Math. Phys. 340, No. 3, 1239-1280 (2015). Reviewer: Chris Heunen (Edinburgh) MSC: 46L37 46L35 22D25 PDF BibTeX XML Cite \textit{S. Popa} and \textit{S. Vaes}, Commun. Math. Phys. 340, No. 3, 1239--1280 (2015; Zbl 1335.46055) Full Text: DOI arXiv OpenURL
Xu, Jinde; Zhou, Panyue; Ouyang, Baiyu Subfactor categories of triangulated categories. (English) Zbl 1329.18016 Commun. Algebra 43, No. 12, 5168-5182 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18E30 16E35 PDF BibTeX XML Cite \textit{J. Xu} et al., Commun. Algebra 43, No. 12, 5168--5182 (2015; Zbl 1329.18016) Full Text: DOI arXiv OpenURL
Kawahigashi, Yasuyuki Conformal field theory, tensor categories and operator algebras. (English) Zbl 1328.81194 J. Phys. A, Math. Theor. 48, No. 30, Article ID 303001, 57 p. (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81T40 81R15 17B69 22E67 46L60 PDF BibTeX XML Cite \textit{Y. Kawahigashi}, J. Phys. A, Math. Theor. 48, No. 30, Article ID 303001, 57 p. (2015; Zbl 1328.81194) Full Text: DOI arXiv OpenURL
Burstein, Richard D. Group-type subfactors and Hadamard matrices. (English) Zbl 1339.46059 Trans. Am. Math. Soc. 367, No. 10, 6783-6807 (2015). MSC: 46L37 46L40 PDF BibTeX XML Cite \textit{R. D. Burstein}, Trans. Am. Math. Soc. 367, No. 10, 6783--6807 (2015; Zbl 1339.46059) Full Text: DOI arXiv OpenURL
Okazaki, Kenta An elementary proof of a non-triviality of the \(E_{8}\) subfactor planar algebra. (English) Zbl 1334.46044 Int. J. Math. 26, No. 5, Article ID 1550037, 31 p. (2015). MSC: 46L37 57M15 PDF BibTeX XML Cite \textit{K. Okazaki}, Int. J. Math. 26, No. 5, Article ID 1550037, 31 p. (2015; Zbl 1334.46044) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Izumi} et al., Bull. Lond. Math. Soc. 47, No. 2, 257--269 (2015; Zbl 1328.46048) Full Text: DOI arXiv OpenURL
Nicoara, Remus; White, Joseph The defect of a group-type commuting square. (English) Zbl 1389.46078 Rev. Roum. Math. Pures Appl. 59, No. 2, 245-254 (2014). MSC: 46L37 15B34 20D60 PDF BibTeX XML Cite \textit{R. Nicoara} and \textit{J. White}, Rev. Roum. Math. Pures Appl. 59, No. 2, 245--254 (2014; Zbl 1389.46078) OpenURL
Okazaki, Kenta The \(E_{6}\) state sum invariant of lens spaces. (English) Zbl 1302.57046 J. Knot Theory Ramifications 23, No. 6, Article ID 1450039, 7 p. (2014). MSC: 57M27 PDF BibTeX XML Cite \textit{K. Okazaki}, J. Knot Theory Ramifications 23, No. 6, Article ID 1450039, 7 p. (2014; Zbl 1302.57046) Full Text: DOI arXiv OpenURL
Bestvina, Mladen; Feighn, Mark Subfactor projections. (English) Zbl 1346.20054 J. Topol. 7, No. 3, 771-804 (2014). MSC: 20F65 57M07 20E05 20E36 PDF BibTeX XML Cite \textit{M. Bestvina} and \textit{M. Feighn}, J. Topol. 7, No. 3, 771--804 (2014; Zbl 1346.20054) Full Text: DOI arXiv OpenURL
Xu, Feng On intermediate conformal nets. (English) Zbl 1307.46048 J. Reine Angew. Math. 692, 125-151 (2014). MSC: 46L37 81T05 PDF BibTeX XML Cite \textit{F. Xu}, J. Reine Angew. Math. 692, 125--151 (2014; Zbl 1307.46048) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Morrison}, Bull. Lond. Math. Soc. 46, No. 3, 600--608 (2014; Zbl 1303.46051) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. F. R. Jones} et al., Bull. Am. Math. Soc., New Ser. 51, No. 2, 277--327 (2014; Zbl 1301.46039) Full Text: DOI arXiv OpenURL
Taylor, Samuel J. A note on subfactor projections. (English) Zbl 1346.20057 Algebr. Geom. Topol. 14, No. 2, 805-821 (2014). MSC: 20F65 57M07 20E05 20E36 PDF BibTeX XML Cite \textit{S. J. Taylor}, Algebr. Geom. Topol. 14, No. 2, 805--821 (2014; Zbl 1346.20057) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Bigelow} and \textit{D. Penneys}, Math. Ann. 358, No. 1--2, 1--24 (2014; Zbl 1302.46049) Full Text: DOI arXiv OpenURL
Das, Paramita; Ghosh, Shamindra Kumar; Gupta, Ved Prakash Perturbations of planar algebras. (English) Zbl 1312.46056 Math. Scand. 114, No. 1, 38-85 (2014). MSC: 46L37 PDF BibTeX XML Cite \textit{P. Das} et al., Math. Scand. 114, No. 1, 38--85 (2014; Zbl 1312.46056) Full Text: DOI arXiv OpenURL
Curran, Stephen; Jones, Vaughan F. R.; Shlyakhtenko, Dimitri On the symmetric enveloping algebra of planar algebra subfactors. (English) Zbl 1296.46054 Trans. Am. Math. Soc. 366, No. 1, 113-133 (2014). MSC: 46L37 46L54 PDF BibTeX XML Cite \textit{S. Curran} et al., Trans. Am. Math. Soc. 366, No. 1, 113--133 (2014; Zbl 1296.46054) Full Text: DOI arXiv OpenURL
Evans, David E.; Gannon, Terry Modular invariants and twisted equivariant \(K\)-theory. II: Dynkin diagram symmetries. (English) Zbl 1310.81137 J. \(K\)-Theory 12, No. 2, 273-330 (2013). Reviewer: Ralf Meyer (Göttingen) MSC: 81T40 46L80 14D21 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{T. Gannon}, J. \(K\)-Theory 12, No. 2, 273--330 (2013; Zbl 1310.81137) Full Text: DOI arXiv OpenURL
Okazaki, Kenta The state sum invariant of 3-manifolds constructed from the \(E_{6}\) linear skein. (English) Zbl 1287.57003 Algebr. Geom. Topol. 13, No. 6, 3469-3536 (2013). Reviewer: Daniel Moskovich (Singapore) MSC: 57M15 57M27 46L37 PDF BibTeX XML Cite \textit{K. Okazaki}, Algebr. Geom. Topol. 13, No. 6, 3469--3536 (2013; Zbl 1287.57003) Full Text: DOI OpenURL
Nicoara, Remus; White, Joseph Twisted commuting squares. (English) Zbl 1281.46054 Int. J. Math. 24, No. 5, Article ID 1350036, 14 p. (2013). MSC: 46L37 15B34 PDF BibTeX XML Cite \textit{R. Nicoara} and \textit{J. White}, Int. J. Math. 24, No. 5, Article ID 1350036, 14 p. (2013; Zbl 1281.46054) Full Text: DOI OpenURL
Xu, Feng On examples of intermediate subfactors from conformal field theory. (English) Zbl 1277.46029 Commun. Math. Phys. 320, No. 3, 761-781 (2013). MSC: 46L37 81T05 PDF BibTeX XML Cite \textit{F. Xu}, Commun. Math. Phys. 320, No. 3, 761--781 (2013; Zbl 1277.46029) Full Text: DOI arXiv OpenURL
Penneys, David A planar calculus for infinite index subfactors. (English) Zbl 1275.46049 Commun. Math. Phys. 319, No. 3, 595-648 (2013). MSC: 46L37 PDF BibTeX XML Cite \textit{D. Penneys}, Commun. Math. Phys. 319, No. 3, 595--648 (2013; Zbl 1275.46049) Full Text: DOI arXiv OpenURL
Goto, Satoshi On the fusion algebras of bimodules arising from Goodman-de la Harpe-Jones subfactors. (English) Zbl 1303.46050 J. Math. Sci., Tokyo 19, No. 4, 409-506 (2012). MSC: 46L37 PDF BibTeX XML Cite \textit{S. Goto}, J. Math. Sci., Tokyo 19, No. 4, 409--506 (2012; Zbl 1303.46050) Full Text: arXiv OpenURL
Curran, Stephen On the planar algebra of Ocneanu’s asymptotic inclusion. (English) Zbl 1268.46042 Int. J. Math. 23, No. 11, Paper No. 1250114, 43 p. (2012). MSC: 46L37 PDF BibTeX XML Cite \textit{S. Curran}, Int. J. Math. 23, No. 11, Paper No. 1250114, 43 p. (2012; Zbl 1268.46042) Full Text: DOI arXiv OpenURL
Albeverio, S.; Ayupov, Sh. A.; Rakhimov, A. A.; Dadakhodjaev, R. A. Index theory for real factors. (English) Zbl 1273.46043 Eurasian Math. J. 3, No. 2, 12-20 (2012). MSC: 46L36 46L37 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Eurasian Math. J. 3, No. 2, 12--20 (2012; Zbl 1273.46043) Full Text: arXiv MNR OpenURL
Brothier, Arnaud Unshaded planar algebras and their associated II\(_{1}\) factors. (English) Zbl 1258.46024 J. Funct. Anal. 262, No. 9, 3839-3871 (2012). Reviewer: David Penneys (Toronto) MSC: 46L37 46L36 46L54 57M20 PDF BibTeX XML Cite \textit{A. Brothier}, J. Funct. Anal. 262, No. 9, 3839--3871 (2012; Zbl 1258.46024) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Morrison} and \textit{N. Snyder}, Commun. Math. Phys. 312, No. 1, 1--35 (2012; Zbl 1246.46055) Full Text: DOI arXiv OpenURL
Grossman, Pinhas; Snyder, Noah Quantum subgroups of the Haagerup fusion categories. (English) Zbl 1250.46042 Commun. Math. Phys. 311, No. 3, 617-643 (2012). MSC: 46L37 PDF BibTeX XML Cite \textit{P. Grossman} and \textit{N. Snyder}, Commun. Math. Phys. 311, No. 3, 617--643 (2012; Zbl 1250.46042) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Yamashita, Makoto On subfactors arising from asymptotic representations of symmetric groups. (English) Zbl 1246.46057 Proc. Am. Math. Soc. 140, No. 1, 249-261 (2012). MSC: 46L37 20C32 46L55 PDF BibTeX XML Cite \textit{M. Yamashita}, Proc. Am. Math. Soc. 140, No. 1, 249--261 (2012; Zbl 1246.46057) Full Text: DOI arXiv OpenURL
Nicoara, Remus Limit points of commuting squares. (English) Zbl 1253.46069 Indiana Univ. Math. J. 60, No. 3, 847-858 (2011). MSC: 46L37 15B34 PDF BibTeX XML Cite \textit{R. Nicoara}, Indiana Univ. Math. J. 60, No. 3, 847--858 (2011; Zbl 1253.46069) Full Text: DOI Link OpenURL
Asaeda, Marta; Haagerup, Uffe Fusion rules on a parametrized series of graphs. (English) Zbl 1241.46035 Pac. J. Math. 253, No. 2, 257-288 (2011). MSC: 46L37 PDF BibTeX XML Cite \textit{M. Asaeda} and \textit{U. Haagerup}, Pac. J. Math. 253, No. 2, 257--288 (2011; Zbl 1241.46035) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{S. K. Ghosh}, J. Algebra 339, No. 1, 27--54 (2011; Zbl 1242.46071) Full Text: DOI arXiv OpenURL
Shlyakhtenko, Dimitri Free probability, planar algebras, subfactors and random matrices. (English) Zbl 1235.46060 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1603-1623 (2011). MSC: 46L37 46L54 15B52 PDF BibTeX XML Cite \textit{D. Shlyakhtenko}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1603--1623 (2011; Zbl 1235.46060) Full Text: arXiv Link OpenURL
Choda, Marie Conjugate pairs of subfactors and entropy for automorphisms. (English) Zbl 1221.46062 Int. J. Math. 22, No. 4, 577-592 (2011). MSC: 46L37 46L55 46L40 PDF BibTeX XML Cite \textit{M. Choda}, Int. J. Math. 22, No. 4, 577--592 (2011; Zbl 1221.46062) Full Text: DOI arXiv OpenURL
Kodiyalam, Vijay; Sunder, V. S. On the Guionnet-Jones-Shlyakhtenko construction for graphs. (English) Zbl 1221.46063 J. Funct. Anal. 260, No. 9, 2635-2673 (2011). MSC: 46L37 PDF BibTeX XML Cite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, J. Funct. Anal. 260, No. 9, 2635--2673 (2011; Zbl 1221.46063) Full Text: DOI arXiv OpenURL
Evans, David E.; Pugh, Mathew Spectral measures and generating series for nimrep graphs in subfactor theory. II: \(SU(3)\). (English) Zbl 1217.46041 Commun. Math. Phys. 301, No. 3, 771-809 (2011). MSC: 46L37 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{M. Pugh}, Commun. Math. Phys. 301, No. 3, 771--809 (2011; Zbl 1217.46041) Full Text: DOI arXiv OpenURL
Albeverio, S.; Ayupov, Sh. A.; Dadakhodjaev, R. A.; Rakhimov, A. A. On Jones’ index for real \(W^*\)-algebras. (English) Zbl 1234.46047 Eurasian Math. J. 1, No. 4, 5-19 (2010). MSC: 46L10 46L37 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Eurasian Math. J. 1, No. 4, 5--19 (2010; Zbl 1234.46047) OpenURL
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D. Random matrices, free probability, planar algebras and subfactors. (English) Zbl 1219.46057 Blanchard, Etienne (ed.) et al., Quanta of maths. Conference on non commutative geometry in honor of Alain Connes, Paris, France, March 29–April 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5203-3/pbk). Clay Mathematics Proceedings 11, 201-239 (2010). MSC: 46L54 15B52 46L37 PDF BibTeX XML Cite \textit{A. Guionnet} et al., Clay Math. Proc. 11, 201--239 (2010; Zbl 1219.46057) Full Text: arXiv OpenURL
Wang, Liguang; Ma, Xiujuan A note on maximal subfactors. (English) Zbl 1213.46060 Asian-Eur. J. Math. 3, No. 4, 707-713 (2010). MSC: 46L37 46L10 46L36 PDF BibTeX XML Cite \textit{L. Wang} and \textit{X. Ma}, Asian-Eur. J. Math. 3, No. 4, 707--713 (2010; Zbl 1213.46060) Full Text: DOI OpenURL
Evans, David E.; Pugh, Mathew \(A_{2}\)-planar algebras I. (English) Zbl 1213.46058 Quantum Topol. 1, No. 4, 321-377 (2010). MSC: 46L37 46L60 81T40 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{M. Pugh}, Quantum Topol. 1, No. 4, 321--377 (2010; Zbl 1213.46058) Full Text: DOI arXiv OpenURL
Burstein, R. D. Automorphisms of the bipartite graph planar algebra. (English) Zbl 1216.46055 J. Funct. Anal. 259, No. 9, 2384-2403 (2010). Reviewer: Nadia Larsen (Oslo) MSC: 46L37 PDF BibTeX XML Cite \textit{R. D. Burstein}, J. Funct. Anal. 259, No. 9, 2384--2403 (2010; Zbl 1216.46055) Full Text: DOI arXiv OpenURL
Peters, Emily A planar algebra construction of the Haagerup subfactor. (English) Zbl 1203.46039 Int. J. Math. 21, No. 8, 987-1045 (2010). MSC: 46L37 PDF BibTeX XML Cite \textit{E. Peters}, Int. J. Math. 21, No. 8, 987--1045 (2010; Zbl 1203.46039) Full Text: DOI arXiv OpenURL
Goto, Satoshi On Ocneanu’s theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams. (English) Zbl 1202.46074 Expo. Math. 28, No. 3, 218-253 (2010). MSC: 46L37 57R56 81T45 PDF BibTeX XML Cite \textit{S. Goto}, Expo. Math. 28, No. 3, 218--253 (2010; Zbl 1202.46074) Full Text: DOI OpenURL
Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin An orthogonal approach to the subfactor of a planar algebra. (English) Zbl 1195.46067 Pac. J. Math. 246, No. 1, 187-197 (2010). MSC: 46L37 PDF BibTeX XML Cite \textit{V. Jones} et al., Pac. J. Math. 246, No. 1, 187--197 (2010; Zbl 1195.46067) Full Text: DOI arXiv OpenURL
Burstein, Richard D. Commuting square subfactors and central sequences. (English) Zbl 1195.46066 Int. J. Math. 21, No. 1, 117-131 (2010). MSC: 46L37 PDF BibTeX XML Cite \textit{R. D. Burstein}, Int. J. Math. 21, No. 1, 117--131 (2010; Zbl 1195.46066) Full Text: DOI arXiv OpenURL
Bigelow, Stephen Skein theory for the \(ADE\) planar algebras. (English) Zbl 1192.46059 J. Pure Appl. Algebra 214, No. 5, 658-666 (2010). MSC: 46L37 57M15 46M99 PDF BibTeX XML Cite \textit{S. Bigelow}, J. Pure Appl. Algebra 214, No. 5, 658--666 (2010; Zbl 1192.46059) Full Text: DOI arXiv OpenURL
Morrison, Scott; Peters, Emily; Snyder, Noah Skein theory for the \(D_{2n}\) planar algebras. (English) Zbl 1191.46051 J. Pure Appl. Algebra 214, No. 2, 117-139 (2010). MSC: 46L37 57M15 46M99 PDF BibTeX XML Cite \textit{S. Morrison} et al., J. Pure Appl. Algebra 214, No. 2, 117--139 (2010; Zbl 1191.46051) Full Text: DOI arXiv OpenURL
Kodiyalam, Vijay; Sunder, V. S. Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras. (English) Zbl 1187.46050 J. Funct. Anal. 257, No. 12, 3930-3948 (2009). MSC: 46L37 PDF BibTeX XML Cite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, J. Funct. Anal. 257, No. 12, 3930--3948 (2009; Zbl 1187.46050) Full Text: DOI arXiv OpenURL
Jijo, S.; Sunder, V. S. Kaç algebras, quantum doubles and planar algebras. (English) Zbl 1189.46054 Babbitt, Donald (ed.) et al., Symmetry in mathematics and physics. Conference in honor of V. S. Varadarajan’s 70th birthday, Los Angeles, CA, USA, January 18–20, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4731-2/pbk). Contemporary Mathematics 490, 97-104 (2009). MSC: 46L37 PDF BibTeX XML Cite \textit{S. Jijo} and \textit{V. S. Sunder}, Contemp. Math. 490, 97--104 (2009; Zbl 1189.46054) OpenURL