Edit Profile (opens in new tab) Jones, Vaughan Frederick Randal Compute Distance To: Compute Author ID: jones.vaughan-f-r Published as: Jones, Vaughan F. R.; Jones, V. F. R.; Jones, Vaughan; Jones, V. more...less Further Spellings: Jones Vaughan Homepage: https://math.berkeley.edu/~vfr/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Awards: Fields Medal (1990) Documents Indexed: 108 Publications since 1977, including 4 Books 13 Contributions as Editor Biographic References: 12 Publications Co-Authors: 62 Co-Authors with 62 Joint Publications 1,680 Co-Co-Authors all top 5 Co-Authors 59 single-authored 9 Przytycki, Józef Henryk 8 Bisch, Dietmar H. 7 de la Harpe, Pierre 5 Shlyakhtenko, Dimitri L. 4 Gordon, Cameron McA. 4 Kauffman, Louis Hirsch 4 Lambropoulou, Sofia S. F. 3 Adams, Colin C. 3 Brothier, Arnaud 3 Connes, Alain 3 Guionnet, Alice 3 Herman, Richard H. 3 Millett, Kenneth C. 3 Ricca, Renzo L. 3 Sazdanović, Radmila 3 Tuarev, Vladimir 3 Wajnryb, Bronislaw 2 Aharonov, Dorit 2 Aiello, Valeriano 2 Gannon, Terry 2 Ghys, Étienne 2 Kawahigashi, Yasuyuki 2 Landau, Zeph A. 2 Morrison, Scott 2 Penneys, David 2 Popa, Sorin Teodor 2 Sergiescu, Vlad 2 Snyder, Noah 2 Tsuboi, Takashi 1 Bacher, Roland 1 Bogle, M. G. V. 1 Conder, Marston Donald Edward 1 Conti, Roberto 1 Curran, Stephen Robert 1 Gaboriau, Damien 1 Giordano, Thierry 1 Goldschmidt, David M. 1 Goodman, Frederick M. 1 Grossman, Pinhas 1 Habegger, Nathan 1 Hearst, John E. 1 Izumi, Masaki 1 Kania-Bartoszyńska, Joanna 1 Liu, Zhengwei 1 Moscovici, Henri 1 Musat, Magdalena 1 Pino Ortiz, Oscar 1 Ratcliffe, John G. 1 Reznikoff, Sarah A. 1 Rolfsen, Dale 1 Rørdam, Mikael 1 Rosso, Marc 1 Schmidt, Klaus 1 Stoilov, L. 1 Sunder, Viakalathur S. 1 Takesaki, Masamichi 1 Traczyk, Paweł 1 Turaev, Vladimir Georgievich 1 Walker, Kevin 1 Xu, Feng 1 Yang, Jun 1 Zinn-Justin, Paul all top 5 Serials 6 Journal of Functional Analysis 5 Communications in Mathematical Physics 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Knot Theory and its Ramifications 3 Duke Mathematical Journal 3 Fundamenta Mathematicae 3 Mathematica Scandinavica 3 Pacific Journal of Mathematics 3 International Journal of Mathematics 3 Oberwolfach Reports 2 International Journal of Modern Physics A 2 Inventiones Mathematicae 2 Transactions of the American Mathematical Society 2 Journal of Operator Theory 2 Notices of the American Mathematical Society 2 New Zealand Journal of Mathematics 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Monographies de l’Enseignement Mathématique 2 Quantum Topology 1 International Journal of Modern Physics B 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Memoirs of the American Mathematical Society 1 Normat 1 Algorithmica 1 Journal of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Banach Center Publications 1 London Mathematical Society Lecture Note Series 1 Mathematical Sciences Research Institute Publications 1 Regional Conference Series in Mathematics 1 Series on Knots and Everything 1 Journal of Physics A: Mathematical and Theoretical 1 Japanese Journal of Mathematics. 3rd Series 1 Springer Proceedings in Mathematics & Statistics 1 arXiv e-print service 1 Journal of Combinatorial Algebra all top 5 Fields 78 Functional analysis (46-XX) 45 Manifolds and cell complexes (57-XX) 21 Group theory and generalizations (20-XX) 18 Quantum theory (81-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 General and overarching topics; collections (00-XX) 9 Category theory; homological algebra (18-XX) 7 Associative rings and algebras (16-XX) 7 Topological groups, Lie groups (22-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 5 Operator theory (47-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Differential geometry (53-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 3,560 times in 2,249 Documents Cited by ▼ Year ▼ Index for subfactors. Zbl 0508.46040Jones, V. F. R. 542 1983 Hecke algebra representations of braid groups and link polynomials. Zbl 0631.57005Jones, V. F. R. 528 1987 A polynomial invariant for knots via von Neumann algebras. Zbl 0564.57006Jones, Vaughan F. R. 496 1985 Coxeter graphs and towers of algebras. Zbl 0698.46050Goodman, Frederick M.; De la Harpe, Pierre; Jones, Vaughan F. R. 279 1989 On knot invariants related to some statistical mechanical models. Zbl 0695.46029Jones, V. F. R. 123 1989 Introduction to subfactors. Zbl 0903.46062Jones, V.; Sunder, V. S. 96 1997 Property \(T\) for von Neumann algebras. Zbl 1190.46047Connes, A.; Jones, V. 94 1985 Planar algebras. I. Zbl 1328.46049Jones, V. F. R. 82 1999 The Potts model and the symmetric group. Zbl 0938.20505Jones, V. F. R. 82 1994 Algebras associated to intermediate subfactors. Zbl 0891.46035Bisch, Dietmar; Jones, Vaughan 68 1997 On the invariants of torus knots derived from quantum groups. Zbl 0787.57006Rosso, Marc; Jones, Vaughan 67 1993 On a certain value of the Kauffman polynomial. Zbl 0695.57003Jones, V. F. R. 51 1989 The classification of subfactors of index at most 5. Zbl 1301.46039Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah 46 2014 The annular structure of subfactors. Zbl 1019.46036Jones, Vaughan F. R. 45 2001 Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D. 40 2010 Actions of finite groups on the hyperfinite type \(II_ 1\) factor. Zbl 0454.46045Jones, Vaughan F. R. 39 1980 Quadratic tangles in planar algebras. Zbl 1257.46033Jones, Vaughan F. R. 38 2012 Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014Jones, Vaughan F. R.; Schmidt, Klaus 36 1987 Graph invariants related to statistical mechanical models: Examples and problems. Zbl 0729.57003de la Harpe, Pierre; Jones, V. F. R. 35 1993 A quotient of the affine Hecke algebra in the Brauer algebra. Zbl 0852.20035Jones, V. F. R. 33 1994 A \(\text{II}_1\) factor with two nonconjugate Cartan subalgebras. Zbl 0501.46056Connes, A.; Jones, V. 32 1982 Some unitary representations of Thompson’s groups \(F\) and \(T\). Zbl 1472.57014Jones, Vaughan F. R. 28 2017 Metaplectic link invariants. Zbl 0678.57007Goldschmidt, David M.; Jones, V. F. R. 27 1989 Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042Jones, V. F. R.; Takesaki, M. 26 1984 Baxterization. Zbl 0744.57005Jones, V. F. R. 25 1991 Baxterization. Zbl 0723.57003Jones, V. F. R. 25 1990 Singly generated planar algebras of small dimension. Zbl 1075.46053Bisch, Dietmar; Jones, Vaughan 23 2000 A no-go theorem for the continuum limit of a periodic quantum spin chain. Zbl 1397.82025Jones, Vaughan F. R. 22 2018 The planar algebra of a bipartite graph. Zbl 1021.46047Jones, Vaughan F. R. 22 2000 Intermediate subfactors with no extra structure. Zbl 1131.46041Grossman, Pinhas; Jones, Vaughan F. R. 21 2007 Hilbert space representations of the annular Temperley-Lieb algebra. Zbl 1131.46042Jones, Vaughan F. R.; Reznikoff, Sarah A. 21 2006 The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055Jones, Vaughan F. R.; Penneys, David 21 2011 An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin 21 2010 A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1191.68313Aharonov, Dorit; Jones, Vaughan; Landau, Zeph 20 2009 Lissajous knots. Zbl 0834.57005Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L. 20 1994 Period two automorphisms of UHF C*-algebras. Zbl 0511.46057Herman, Richard H.; Jones, Vaughan F. R. 18 1982 Lissajous knots and billiard knots. Zbl 0901.57012Jones, Vaughan F. R.; Przytycki, Józef H. 18 1998 Subfactors of index less than 5. III: Quadruple points. Zbl 1272.46051Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah 17 2012 A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1301.68129Aharonov, Dorit; Jones, Vaughan; Landau, Zeph 17 2006 A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054Guionnet, A.; Jones, V.; Shlyakhtenko, D. 15 2011 Ten problems. Zbl 0969.57001Jones, V. F. R. 14 2000 Loop models, random matrices and planar algebras. Zbl 1277.82013Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P. 14 2012 A converse to Ocneanu’s theorem. Zbl 0547.46045Jones, V. F. R. 14 1983 Singly generated planar algebras of small dimension. II. Zbl 1041.46048Bisch, Dietmar; Jones, Vaughan 13 2003 Braid groups, Hecke algebras and type \(II_ 1\) factors. Zbl 0659.46054Jones, V. F. R. 12 1986 A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0422.46051Jones, V. F. R. 12 1980 Pythagorean representations of Thompson’s groups. Zbl 07089431Brothier, Arnaud; Jones, Vaughan F. R. 10 2019 Intersections of finite families of finite index subfactors. Zbl 1059.46043Jones, Vaughan F. R.; Xu, Feng 10 2004 Central sequences in crossed products of full factors. Zbl 0492.46049Jones, V. F. R. 10 1982 The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R. 9 2018 Scale invariant transfer matrices and Hamiltionians. Zbl 1387.82010Jones, Vaughan F. R. 9 2018 On a family of almost commuting endomorphisms. Zbl 0821.46076Jones, V. F. R. 9 1994 A note on free composition of subfactors. Zbl 0968.46045Bisch, Dietmar; Jones, Vaughan 9 1997 Models of finite group actions. Zbl 0551.46043Herman, Richard H.; Jones, Vaughan F. R. 9 1983 Subfactors and knots. Expository lectures from the CBMS regional conference, held at the US Naval Academy, Annapolis, USA, June 5-11, 1988. Zbl 0743.46058Jones, Vaughan F. R. 8 1991 Singly generated planar algebras of small dimension. III. Zbl 1370.46036Bisch, Dietmar; Jones, Vaughan F. R.; Liu, Zhengwei 8 2017 Subfactors and related topics. Zbl 0692.46049Jones, V. F. R. 8 1988 Special issue based on the 2nd international conference “Knots in Poland”, Warsaw, Poland, July 7–13, 2003 and Bȩdlewo, Poland, July 14–27, 2003. Zbl 1065.57500 7 2004 Two subfactors and the algebraic decomposition of bimodules over II\(_1\) factors. Zbl 1182.46049Jones, Vaughan F. R. 7 2008 On the symmetric enveloping algebra of planar algebra subfactors. Zbl 1296.46054Curran, Stephen; Jones, Vaughan F. R.; Shlyakhtenko, Dimitri 6 2014 Index for subrings of rings. Zbl 0607.46033Jones, V. F. R. 6 1985 Paires de sous-algèbres semi-simples et graphes fortement réguliers. (Pairs of semi-simple subalgebras and strongly regular graphs). Zbl 0707.46039De la Harpe, Pierre; Jones, Vaughan 6 1990 In and around the origin of quantum groups. Zbl 1129.81046Jones, Vaughan F. R. 5 2007 On spectral measures for certain unitary representations of R. Thompson’s group F. Zbl 1451.81384Aiello, Valeriano; Jones, Vaughan F. R. 5 2021 On the Haagerup and Kazhdan properties of R. Thompson’s groups. Zbl 07104291Brothier, Arnaud; Jones, Vaughan F. R. 5 2019 On the construction of knots and links from Thompson’s groups. Zbl 1423.57013Jones, Vaughan F. R. 5 2019 Some properties of MASA’s in factors. Zbl 0508.46041Jones, V.; Popa, S. 5 1982 Relative cohomology of groups. Zbl 0544.20047Habegger, Nathan; Jones, Vaughan; Pino Ortiz, Oscar; Ratcliffe, John 5 1984 Planar algebras. I. Zbl 1484.46067Jones, V. F. R. 5 2021 Von Neumann algebras in mathematics and physics. Zbl 0781.46046Jones, Vaughan F. R. 4 1991 Commuting transfer matrices and link polynomials. Zbl 0774.57005Jones, V. F. R. 4 1992 Commuting squares and invariants of combinatorial structures. (Carrés commutatifs et invariants de structures combinatoires.) Zbl 0826.16024Bacher, Roland; de la Harpe, Pierre; Jones, Vaughan 4 1995 Hilbert modules over a planar algebra and the Haagerup property. Zbl 1339.46058Brothier, Arnaud; Jones, Vaughan F. R. 4 2015 Notes on subfactors and statistical mechanics. Zbl 0737.46042Jones, V. F. R. 3 1990 Fusion in von Neumann algebras and loop groups [after A. Wassermann]. (Fusion en algèbres de von Neuman et groupes de lacets [d’après A. Wassermann].) Zbl 0921.46066Jones, Vaughan 3 1996 A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0432.46062Jones, V. F. R. 3 1980 A credo of sorts. Zbl 1041.57500Jones, V. F. R. 3 1998 Infinite index subfactors and the GICAR categories. Zbl 1338.46067Jones, Vaughan F. R.; Penneys, David 2 2015 On the origin and development of subfactors and quantum topology. Zbl 1169.46030Jones, Vaughan 2 2009 Von Neumann algebras in mathematics and physics. Zbl 1356.46001Jones, Vaughan 2 2015 Knots, groups, subfactors and physics. Zbl 1361.46048Jones, Vaughan F. R. 2 2016 Notes on subfactors and statistical mechanics. Zbl 0822.46074Jones, V. F. R. 2 1994 Sur la conjugaison de sous-facteurs de facteurs de type \(II_1\). Zbl 0344.46128Jones, Vaughan 2 1977 Subfactors of type \(II_ 1\) factors and related topics. Zbl 0674.46034Jones, V. F. R. 2 1987 Prime actions of compact abelian groups on the hyperfinite type \(II_ 1 \)factor. Zbl 0508.46043Jones, V. F. R. 2 1983 A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066Jones, Vaughan F. R.; Rolfsen, Dale P. O. 2 1994 Antiautomorphismes involutifs du facteur hyperfini de type \(II_1\). Zbl 0428.46047Giordano, Thierry; Jones, Vaughan 2 1980 An invariant for group actions. Zbl 0497.46044Jones, V. F. R. 2 1979 Knots, braids and statistical mechanics. Zbl 0772.57008Jones, V. F. R. 1 1990 Subfactors and applications. Abstracts from the workshop held October 27 – November 2, 2019. Zbl 1454.00043 1 2019 Notes on subfactors and statistical mechanics. Zbl 0725.46038Jones, V. F. R. 1 1989 Actions of discrete groups on factors. Zbl 0503.46045Jones, V. F. R. 1 1982 Groupes de tresses, algèbres de Hecke et facteurs de type \(II_ 1\). (Braid groups, Hecke algebras and type \(II_ 1\) factors). Zbl 0597.20034Jones, Vaughan 1 1984 Central sequences in crossed products. Zbl 0624.46044Herman, Richard H.; Jones, Vaughan F. R. 1 1987 On spectral measures for certain unitary representations of R. Thompson’s group F. Zbl 1451.81384Aiello, Valeriano; Jones, Vaughan F. R. 5 2021 Planar algebras. I. Zbl 1484.46067Jones, V. F. R. 5 2021 Pythagorean representations of Thompson’s groups. Zbl 07089431Brothier, Arnaud; Jones, Vaughan F. R. 10 2019 On the Haagerup and Kazhdan properties of R. Thompson’s groups. Zbl 07104291Brothier, Arnaud; Jones, Vaughan F. R. 5 2019 On the construction of knots and links from Thompson’s groups. Zbl 1423.57013Jones, Vaughan F. R. 5 2019 Subfactors and applications. Abstracts from the workshop held October 27 – November 2, 2019. Zbl 1454.00043 1 2019 A no-go theorem for the continuum limit of a periodic quantum spin chain. Zbl 1397.82025Jones, Vaughan F. R. 22 2018 The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R. 9 2018 Scale invariant transfer matrices and Hamiltionians. Zbl 1387.82010Jones, Vaughan F. R. 9 2018 Some unitary representations of Thompson’s groups \(F\) and \(T\). Zbl 1472.57014Jones, Vaughan F. R. 28 2017 Singly generated planar algebras of small dimension. III. Zbl 1370.46036Bisch, Dietmar; Jones, Vaughan F. R.; Liu, Zhengwei 8 2017 Knots, groups, subfactors and physics. Zbl 1361.46048Jones, Vaughan F. R. 2 2016 Hilbert modules over a planar algebra and the Haagerup property. Zbl 1339.46058Brothier, Arnaud; Jones, Vaughan F. R. 4 2015 Infinite index subfactors and the GICAR categories. Zbl 1338.46067Jones, Vaughan F. R.; Penneys, David 2 2015 Von Neumann algebras in mathematics and physics. Zbl 1356.46001Jones, Vaughan 2 2015 The classification of subfactors of index at most 5. Zbl 1301.46039Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah 46 2014 On the symmetric enveloping algebra of planar algebra subfactors. Zbl 1296.46054Curran, Stephen; Jones, Vaughan F. R.; Shlyakhtenko, Dimitri 6 2014 Quadratic tangles in planar algebras. Zbl 1257.46033Jones, Vaughan F. R. 38 2012 Subfactors of index less than 5. III: Quadruple points. Zbl 1272.46051Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah 17 2012 Loop models, random matrices and planar algebras. Zbl 1277.82013Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P. 14 2012 The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055Jones, Vaughan F. R.; Penneys, David 21 2011 A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054Guionnet, A.; Jones, V.; Shlyakhtenko, D. 15 2011 Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D. 40 2010 An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin 21 2010 A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1191.68313Aharonov, Dorit; Jones, Vaughan; Landau, Zeph 20 2009 On the origin and development of subfactors and quantum topology. Zbl 1169.46030Jones, Vaughan 2 2009 Two subfactors and the algebraic decomposition of bimodules over II\(_1\) factors. Zbl 1182.46049Jones, Vaughan F. R. 7 2008 Intermediate subfactors with no extra structure. Zbl 1131.46041Grossman, Pinhas; Jones, Vaughan F. R. 21 2007 In and around the origin of quantum groups. Zbl 1129.81046Jones, Vaughan F. R. 5 2007 Hilbert space representations of the annular Temperley-Lieb algebra. Zbl 1131.46042Jones, Vaughan F. R.; Reznikoff, Sarah A. 21 2006 A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1301.68129Aharonov, Dorit; Jones, Vaughan; Landau, Zeph 17 2006 Intersections of finite families of finite index subfactors. Zbl 1059.46043Jones, Vaughan F. R.; Xu, Feng 10 2004 Special issue based on the 2nd international conference “Knots in Poland”, Warsaw, Poland, July 7–13, 2003 and Bȩdlewo, Poland, July 14–27, 2003. Zbl 1065.57500 7 2004 Singly generated planar algebras of small dimension. II. Zbl 1041.46048Bisch, Dietmar; Jones, Vaughan 13 2003 The annular structure of subfactors. Zbl 1019.46036Jones, Vaughan F. R. 45 2001 Singly generated planar algebras of small dimension. Zbl 1075.46053Bisch, Dietmar; Jones, Vaughan 23 2000 The planar algebra of a bipartite graph. Zbl 1021.46047Jones, Vaughan F. R. 22 2000 Ten problems. Zbl 0969.57001Jones, V. F. R. 14 2000 Planar algebras. I. Zbl 1328.46049Jones, V. F. R. 82 1999 Lissajous knots and billiard knots. Zbl 0901.57012Jones, Vaughan F. R.; Przytycki, Józef H. 18 1998 A credo of sorts. Zbl 1041.57500Jones, V. F. R. 3 1998 Introduction to subfactors. Zbl 0903.46062Jones, V.; Sunder, V. S. 96 1997 Algebras associated to intermediate subfactors. Zbl 0891.46035Bisch, Dietmar; Jones, Vaughan 68 1997 A note on free composition of subfactors. Zbl 0968.46045Bisch, Dietmar; Jones, Vaughan 9 1997 Fusion in von Neumann algebras and loop groups [after A. Wassermann]. (Fusion en algèbres de von Neuman et groupes de lacets [d’après A. Wassermann].) Zbl 0921.46066Jones, Vaughan 3 1996 Commuting squares and invariants of combinatorial structures. (Carrés commutatifs et invariants de structures combinatoires.) Zbl 0826.16024Bacher, Roland; de la Harpe, Pierre; Jones, Vaughan 4 1995 The Potts model and the symmetric group. Zbl 0938.20505Jones, V. F. R. 82 1994 A quotient of the affine Hecke algebra in the Brauer algebra. Zbl 0852.20035Jones, V. F. R. 33 1994 Lissajous knots. Zbl 0834.57005Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L. 20 1994 On a family of almost commuting endomorphisms. Zbl 0821.46076Jones, V. F. R. 9 1994 Notes on subfactors and statistical mechanics. Zbl 0822.46074Jones, V. F. R. 2 1994 A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066Jones, Vaughan F. R.; Rolfsen, Dale P. O. 2 1994 On the invariants of torus knots derived from quantum groups. Zbl 0787.57006Rosso, Marc; Jones, Vaughan 67 1993 Graph invariants related to statistical mechanical models: Examples and problems. Zbl 0729.57003de la Harpe, Pierre; Jones, V. F. R. 35 1993 Commuting transfer matrices and link polynomials. Zbl 0774.57005Jones, V. F. R. 4 1992 Baxterization. Zbl 0744.57005Jones, V. F. R. 25 1991 Subfactors and knots. Expository lectures from the CBMS regional conference, held at the US Naval Academy, Annapolis, USA, June 5-11, 1988. Zbl 0743.46058Jones, Vaughan F. R. 8 1991 Von Neumann algebras in mathematics and physics. Zbl 0781.46046Jones, Vaughan F. R. 4 1991 Baxterization. Zbl 0723.57003Jones, V. F. R. 25 1990 Paires de sous-algèbres semi-simples et graphes fortement réguliers. (Pairs of semi-simple subalgebras and strongly regular graphs). Zbl 0707.46039De la Harpe, Pierre; Jones, Vaughan 6 1990 Notes on subfactors and statistical mechanics. Zbl 0737.46042Jones, V. F. R. 3 1990 Knots, braids and statistical mechanics. Zbl 0772.57008Jones, V. F. R. 1 1990 Coxeter graphs and towers of algebras. Zbl 0698.46050Goodman, Frederick M.; De la Harpe, Pierre; Jones, Vaughan F. R. 279 1989 On knot invariants related to some statistical mechanical models. Zbl 0695.46029Jones, V. F. R. 123 1989 On a certain value of the Kauffman polynomial. Zbl 0695.57003Jones, V. F. R. 51 1989 Metaplectic link invariants. Zbl 0678.57007Goldschmidt, David M.; Jones, V. F. R. 27 1989 Notes on subfactors and statistical mechanics. Zbl 0725.46038Jones, V. F. R. 1 1989 Subfactors and related topics. Zbl 0692.46049Jones, V. F. R. 8 1988 Hecke algebra representations of braid groups and link polynomials. Zbl 0631.57005Jones, V. F. R. 528 1987 Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014Jones, Vaughan F. R.; Schmidt, Klaus 36 1987 Subfactors of type \(II_ 1\) factors and related topics. Zbl 0674.46034Jones, V. F. R. 2 1987 Central sequences in crossed products. Zbl 0624.46044Herman, Richard H.; Jones, Vaughan F. R. 1 1987 Braid groups, Hecke algebras and type \(II_ 1\) factors. Zbl 0659.46054Jones, V. F. R. 12 1986 A polynomial invariant for knots via von Neumann algebras. Zbl 0564.57006Jones, Vaughan F. R. 496 1985 Property \(T\) for von Neumann algebras. Zbl 1190.46047Connes, A.; Jones, V. 94 1985 Index for subrings of rings. Zbl 0607.46033Jones, V. F. R. 6 1985 Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042Jones, V. F. R.; Takesaki, M. 26 1984 Relative cohomology of groups. Zbl 0544.20047Habegger, Nathan; Jones, Vaughan; Pino Ortiz, Oscar; Ratcliffe, John 5 1984 Groupes de tresses, algèbres de Hecke et facteurs de type \(II_ 1\). (Braid groups, Hecke algebras and type \(II_ 1\) factors). Zbl 0597.20034Jones, Vaughan 1 1984 Index for subfactors. Zbl 0508.46040Jones, V. F. R. 542 1983 A converse to Ocneanu’s theorem. Zbl 0547.46045Jones, V. F. R. 14 1983 Models of finite group actions. Zbl 0551.46043Herman, Richard H.; Jones, Vaughan F. R. 9 1983 Prime actions of compact abelian groups on the hyperfinite type \(II_ 1 \)factor. Zbl 0508.46043Jones, V. F. R. 2 1983 A \(\text{II}_1\) factor with two nonconjugate Cartan subalgebras. Zbl 0501.46056Connes, A.; Jones, V. 32 1982 Period two automorphisms of UHF C*-algebras. Zbl 0511.46057Herman, Richard H.; Jones, Vaughan F. R. 18 1982 Central sequences in crossed products of full factors. Zbl 0492.46049Jones, V. F. R. 10 1982 Some properties of MASA’s in factors. Zbl 0508.46041Jones, V.; Popa, S. 5 1982 Actions of discrete groups on factors. Zbl 0503.46045Jones, V. F. R. 1 1982 Actions of finite groups on the hyperfinite type \(II_ 1\) factor. Zbl 0454.46045Jones, Vaughan F. R. 39 1980 A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0422.46051Jones, V. F. R. 12 1980 A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0432.46062Jones, V. F. R. 3 1980 Antiautomorphismes involutifs du facteur hyperfini de type \(II_1\). Zbl 0428.46047Giordano, Thierry; Jones, Vaughan 2 1980 An invariant for group actions. Zbl 0497.46044Jones, V. F. R. 2 1979 Sur la conjugaison de sous-facteurs de facteurs de type \(II_1\). Zbl 0344.46128Jones, Vaughan 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,865 Authors 48 Popa, Sorin Teodor 43 Kauffman, Louis Hirsch 33 Jones, Vaughan Frederick Randal 29 Stoimenow, Alexander 28 Morozov, Alexei Yurievich 25 Penneys, David 23 Longo, Roberto 23 Vaes, Stefaan 22 Garoufalidis, Stavros 21 Banica, Teodor 20 Mironov, Andrei D. 20 Xu, Feng 19 Kanenobu, Taizo 19 Morrison, Scott 18 East, James 18 Lambropoulou, Sofia S. F. 18 Liu, Zhengwei 18 Przytycki, Józef Henryk 17 Jin, Xian’an 17 Kawahigashi, Yasuyuki 17 Sunder, Viakalathur S. 16 Evans, David E. 15 Houdayer, Cyril 14 Le, Thang Tu Quoc 13 Chifan, Ionuţ 13 Halverson, Thomas 13 Ioana, Adrian 13 Izumi, Masaki 13 Saleur, Hubert 13 Snyder, Noah 12 Brothier, Arnaud 12 El Naschie, Mohamed Saladin 12 Jones, Corey 12 Regts, Guus 12 Rowell, Eric C. 12 Wang, Zhenghan 11 Martin, Paul Purdon 11 Murakami, Hitoshi 11 Schrijver, Alexander 11 Wenzl, Hans 11 Xue, Kang 10 Birman, Joan S. 10 Bisch, Dietmar H. 10 Conti, Roberto 10 Ge, Molin 10 Jaeger, François 10 Masuda, Toshihiko 10 Morozov, Andreĭ Alekseevich 10 Nomura, Kazumasa 10 Orellana, Rosa C. 10 Ramadevi, Pichai 10 Szabó, Gábor 9 Aiello, Valeriano 9 Bakshi, Keshab Chandra 9 Goodman, Frederick M. 9 Juyumaya, Jesús 9 Manturov, Vassiliĭ Olegovich 9 Saito, Masahico 9 Tomatsu, Reiji 9 Wu, Jinsong 8 Ghosh, Shamindra Kumar 8 Grossman, Pinhas 8 Hajij, Mustafa 8 Hartglass, Michael 8 Kadison, Lars 8 Kodiyalam, Vijay 8 Nicoara, Remus 8 Singh, Vivek Kumar 8 Watatani, Yasuo 8 Zhang, Fuji 8 Zhang, Ruibin 7 Benkart, Georgia M. 7 Bigelow, Stephen J. 7 Carter, J. Scott 7 Choda, Marie 7 Gould, Mark D. 7 Green, Richard M. 7 Kida, Yoshikata 7 Marrakchi, Amine 7 Morin-Duchesne, Alexi 7 Murakami, Jun 7 Nawata, Satoshi 7 Pearce, Paul A. 7 Pecker, Daniel 7 Peters, Emily 7 Pinzari, Claudia 7 Shlyakhtenko, Dimitri L. 7 Traczyk, Paweł 7 Tucker-Drob, Robin D. 6 Altintas, Ismet 6 Carpi, Sebastiano 6 Chbili, Nafaa 6 Collins, Benoît 6 Drimbe, Daniel 6 Elhamdadi, Mohamed 6 Enock, Michel 6 Freedman, Michael Hartley 6 Gannon, Terry 6 Gardella, Eusebio 6 Gelca, Răzvan ...and 1,765 more Authors all top 5 Cited in 286 Serials 187 Journal of Knot Theory and its Ramifications 148 Communications in Mathematical Physics 118 Journal of Functional Analysis 80 Journal of Algebra 75 Advances in Mathematics 70 Transactions of the American Mathematical Society 66 Journal of Mathematical Physics 64 International Journal of Mathematics 55 Proceedings of the American Mathematical Society 40 Algebraic & Geometric Topology 37 Journal of High Energy Physics 36 Topology and its Applications 34 Letters in Mathematical Physics 31 Nuclear Physics. B 31 Inventiones Mathematicae 31 Journal of Pure and Applied Algebra 30 Journal of Algebraic Combinatorics 29 Mathematical Proceedings of the Cambridge Philosophical Society 26 Publications of the Research Institute for Mathematical Sciences, Kyoto University 25 Journal of Geometry and Physics 23 Mathematische Annalen 22 Duke Mathematical Journal 21 Quantum Information Processing 20 Chaos, Solitons and Fractals 19 Bulletin of the American Mathematical Society. New Series 17 Theoretical and Mathematical Physics 17 Ergodic Theory and Dynamical Systems 16 Journal of Combinatorial Theory. Series A 16 Mathematische Zeitschrift 16 Geometry & Topology 16 Quantum Topology 15 Communications in Algebra 13 International Journal of Theoretical Physics 13 Annales de l’Institut Fourier 12 European Journal of Combinatorics 12 Journal of the American Mathematical Society 12 Linear Algebra and its Applications 12 Selecta Mathematica. New Series 12 Journal of Statistical Mechanics: Theory and Experiment 11 Journal of Statistical Physics 11 Reviews in Mathematical Physics 11 Experimental Mathematics 11 Journal of Mathematical Sciences (New York) 11 Science China. Mathematics 10 Discrete Mathematics 10 Acta Mathematica 10 Advances in Applied Mathematics 9 Bulletin of the Australian Mathematical Society 9 Discrete Applied Mathematics 9 Israel Journal of Mathematics 9 Compositio Mathematica 9 Geometriae Dedicata 9 Journal für die Reine und Angewandte Mathematik 9 Proceedings of the Japan Academy. Series A 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Algebras and Representation Theory 9 Annales Henri Poincaré 8 International Journal of Modern Physics A 8 Memoirs of the American Mathematical Society 7 Expositiones Mathematicae 7 Acta Mathematica Sinica. English Series 7 Journal of Algebra and its Applications 7 Journal of Noncommutative Geometry 7 Journal of Physics A: Mathematical and Theoretical 7 Algebraic Combinatorics 6 Journal of Mathematical Analysis and Applications 6 Acta Mathematica Vietnamica 6 Applied Mathematics and Computation 6 Glasgow Mathematical Journal 6 International Journal of Algebra and Computation 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Proceedings of the National Academy of Sciences of the United States of America 6 The Electronic Journal of Combinatorics 6 International Journal of Quantum Information 5 Linear and Multilinear Algebra 5 Rocky Mountain Journal of Mathematics 5 The New York Journal of Mathematics 5 Communications in Contemporary Mathematics 5 Groups, Geometry, and Dynamics 4 Physica A 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Integral Equations and Operator Theory 4 Journal of Combinatorial Theory. Series B 4 Journal of Soviet Mathematics 4 Osaka Journal of Mathematics 4 Pacific Journal of Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Acta Applicandae Mathematicae 4 Journal of Symbolic Computation 4 New Zealand Journal of Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annales Mathématiques Blaise Pascal 4 Séminaire Lotharingien de Combinatoire 4 Doklady Mathematics 4 New Journal of Physics 4 Annals of Mathematics. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Geometric Methods in Modern Physics 4 Mediterranean Journal of Mathematics 4 Analysis & PDE ...and 186 more Serials all top 5 Cited in 52 Fields 857 Manifolds and cell complexes (57-XX) 706 Functional analysis (46-XX) 494 Quantum theory (81-XX) 470 Group theory and generalizations (20-XX) 280 Combinatorics (05-XX) 222 Nonassociative rings and algebras (17-XX) 205 Associative rings and algebras (16-XX) 172 Category theory; homological algebra (18-XX) 140 Statistical mechanics, structure of matter (82-XX) 112 Topological groups, Lie groups (22-XX) 95 Dynamical systems and ergodic theory (37-XX) 62 Global analysis, analysis on manifolds (58-XX) 54 Algebraic geometry (14-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 50 Number theory (11-XX) 48 Computer science (68-XX) 44 Abstract harmonic analysis (43-XX) 40 Operator theory (47-XX) 36 Differential geometry (53-XX) 35 Measure and integration (28-XX) 34 Probability theory and stochastic processes (60-XX) 26 Algebraic topology (55-XX) 25 Relativity and gravitational theory (83-XX) 24 Mathematical logic and foundations (03-XX) 19 Special functions (33-XX) 16 Information and communication theory, circuits (94-XX) 14 History and biography (01-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Biology and other natural sciences (92-XX) 13 Commutative algebra (13-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Numerical analysis (65-XX) 11 Several complex variables and analytic spaces (32-XX) 9 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 6 General algebraic systems (08-XX) 6 \(K\)-theory (19-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 4 Field theory and polynomials (12-XX) 4 General topology (54-XX) 3 Approximations and expansions (41-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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