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Jones, Vaughan Frederick Randal (b. 1952 d. 2020)

Author ID: jones.vaughan-f-r Recent zbMATH articles by "Jones, Vaughan Frederick Randal"
Published as: Jones, Vaughan F. R.; Jones, V. F. R.; Jones, Vaughan; Jones, V.
Homepage: https://math.berkeley.edu/~vfr/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Awards: Fields Medal (1990)
all top 5

Co-Authors

60 single-authored
10 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 Kawahigashi, Yasuyuki
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 Landau, Zeph A.
2 Morrison, Scott
2 Penneys, David
2 Popa, Sorin Teodor
2 Sergiescu, Vlad
2 Snyder, Noah
2 Tsuboi, Takashi
2 Turaev, Vladimir Georgievich
1 Andersen, Jørgen Ellegaard
1 Bacher, Roland
1 Bar-Natan, Dror
1 Baseilhac, Stéphane
1 Benedetti, Riccardo
1 Bogle, M. G. V.
1 Boileau, Michel Charles
1 Carter, J. Scott
1 Conder, Marston Donald Edward
1 Conti, Roberto
1 Curran, Stephen Robert
1 Deloup, Florian L.
1 Dunfield, Nathan M.
1 Fenn, Roger A.
1 Ferrand, Emmanuel
1 Gaboriau, Damien
1 Garoufalidis, Stavros
1 Giordano, Thierry
1 Goldschmidt, David M.
1 Goodman, Frederick M.
1 Goussarov, Mikhail
1 Grossman, Pinhas
1 Guadagnini, Enore
1 Habegger, Nathan
1 Habiro, H.
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Hearst, John E.
1 Izumi, Masaki
1 Kania-Bartoszyńska, Joanna
1 Kashaev, Rinat M.
1 Kerler, Thomas
1 Kidwell, Mark Elliot
1 Kohno, Toshitake
1 Kricker, Andrew
1 Le, Thang Tu Quoc
1 Lescop, Christine
1 Liu, Zhengwei
1 Masbaum, Gregor
1 Massuyeau, Gwénaël
1 Morton, Hugh R.
1 Moscovici, Henri
1 Murakami, Hitoshi
1 Murakami, Jun
1 Musat, Magdalena
1 Nakanishi, Yasutaka
1 Ohtsuki, Tomotada
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Pilo, Luigi
1 Pino Ortiz, Oscar
1 Polyak, Michael
1 Ratcliffe, John G.
1 Reznikoff, Sarah A.
1 Rolfsen, Dale
1 Rørdam, Mikael
1 Rosso, Marc
1 Rourke, Colin P.
1 Rozansky, Lev
1 Sanderson, Brian J.
1 Sato, Nobuya
1 Schmidt, Klaus
1 Stanford, Theodore B.
1 Stoilov, L.
1 Stoimenow, Alexander
1 Sunder, Viakalathur S.
1 Takata, Toshie
1 Takesaki, Masamichi
1 Thurston, Dylan Paul
...and 8 more Co-Authors
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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 L’Enseignement Mathématique. 2e Série
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 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 Journal of Combinatorial Algebra

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 4,229 times in 2,583 Documents Cited by Year
Index for subfactors. Zbl 0508.46040
Jones, V. F. R.
617
1983
Hecke algebra representations of braid groups and link polynomials. Zbl 0631.57005
Jones, V. F. R.
597
1987
A polynomial invariant for knots via von Neumann algebras. Zbl 0564.57006
Jones, Vaughan F. R.
581
1985
Coxeter graphs and towers of algebras. Zbl 0698.46050
Goodman, Frederick M.; De la Harpe, Pierre; Jones, Vaughan F. R.
332
1989
On knot invariants related to some statistical mechanical models. Zbl 0695.46029
Jones, V. F. R.
140
1989
Planar algebras. I. Zbl 1328.46049
Jones, V. F. R.
136
1999
Introduction to subfactors. Zbl 0903.46062
Jones, V.; Sunder, V. S.
119
1997
Property \(T\) for von Neumann algebras. Zbl 1190.46047
Connes, A.; Jones, V.
108
1985
The Potts model and the symmetric group. Zbl 0938.20505
Jones, V. F. R.
102
1994
Algebras associated to intermediate subfactors. Zbl 0891.46035
Bisch, Dietmar; Jones, Vaughan
77
1997
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
74
1993
Actions of finite groups on the hyperfinite type \(II_ 1\) factor. Zbl 0454.46045
Jones, Vaughan F. R.
58
1980
The annular structure of subfactors. Zbl 1019.46036
Jones, Vaughan F. R.
56
2001
The classification of subfactors of index at most 5. Zbl 1301.46039
Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah
55
2014
On a certain value of the Kauffman polynomial. Zbl 0695.57003
Jones, V. F. R.
53
1989
Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.
47
2010
Baxterization. Zbl 0723.57003
Jones, V. F. R.
39
1990
Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014
Jones, Vaughan F. R.; Schmidt, Klaus
39
1987
A quotient of the affine Hecke algebra in the Brauer algebra. Zbl 0852.20035
Jones, V. F. R.
39
1994
Some unitary representations of Thompson’s groups \(F\) and \(T\). Zbl 1472.57014
Jones, Vaughan F. R.
38
2017
Quadratic tangles in planar algebras. Zbl 1257.46033
Jones, Vaughan F. R.
38
2012
Graph invariants related to statistical mechanical models: Examples and problems. Zbl 0729.57003
de la Harpe, Pierre; Jones, V. F. R.
35
1993
A \(\text{II}_1\) factor with two nonconjugate Cartan subalgebras. Zbl 0501.46056
Connes, A.; Jones, V.
33
1982
Braid groups, Hecke algebras and type \(II_ 1\) factors. Zbl 0659.46054
Jones, V. F. R.
30
1986
Baxterization. Zbl 0744.57005
Jones, V. F. R.
29
1991
The planar algebra of a bipartite graph. Zbl 1021.46047
Jones, Vaughan F. R.
29
2000
Metaplectic link invariants. Zbl 0678.57007
Goldschmidt, David M.; Jones, V. F. R.
29
1989
Singly generated planar algebras of small dimension. Zbl 1075.46053
Bisch, Dietmar; Jones, Vaughan
28
2000
Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042
Jones, V. F. R.; Takesaki, M.
27
1984
A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1191.68313
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph
26
2009
A no-go theorem for the continuum limit of a periodic quantum spin chain. Zbl 1397.82025
Jones, Vaughan F. R.
26
2018
The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055
Jones, Vaughan F. R.; Penneys, David
25
2011
Intermediate subfactors with no extra structure. Zbl 1131.46041
Grossman, Pinhas; Jones, Vaughan F. R.
24
2007
Hilbert space representations of the annular Temperley-Lieb algebra. Zbl 1131.46042
Jones, Vaughan F. R.; Reznikoff, Sarah A.
23
2006
Lissajous knots. Zbl 0834.57005
Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L.
22
1994
Period two automorphisms of UHF C*-algebras. Zbl 0511.46057
Herman, Richard H.; Jones, Vaughan F. R.
21
1982
An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067
Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin
21
2010
Lissajous knots and billiard knots. Zbl 0901.57012
Jones, Vaughan F. R.; Przytycki, Józef H.
20
1998
Planar algebras. I. Zbl 1484.46067
Jones, V. F. R.
20
2021
A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1301.68129
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph
19
2006
Ten problems. Zbl 0969.57001
Jones, V. F. R.
19
2000
A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054
Guionnet, A.; Jones, V.; Shlyakhtenko, D.
19
2011
Subfactors and knots. Expository lectures from the CBMS regional conference, held at the US Naval Academy, Annapolis, USA, June 5-11, 1988. Zbl 0743.46058
Jones, Vaughan F. R.
18
1991
Subfactors of index less than 5. III: Quadruple points. Zbl 1272.46051
Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah
18
2012
A converse to Ocneanu’s theorem. Zbl 0547.46045
Jones, V. F. R.
16
1983
Loop models, random matrices and planar algebras. Zbl 1277.82013
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P.
15
2012
Pythagorean representations of Thompson’s groups. Zbl 1512.22006
Brothier, Arnaud; Jones, Vaughan F. R.
14
2019
Some properties of MASA’s in factors. Zbl 0508.46041
Jones, V.; Popa, S.
13
1982
Singly generated planar algebras of small dimension. II. Zbl 1041.46048
Bisch, Dietmar; Jones, Vaughan
13
2003
A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0422.46051
Jones, V. F. R.
12
1980
On the Haagerup and Kazhdan properties of R. Thompson’s groups. Zbl 1515.20212
Brothier, Arnaud; Jones, Vaughan F. R.
11
2019
Scale invariant transfer matrices and Hamiltionians. Zbl 1387.82010
Jones, Vaughan F. R.
11
2018
Central sequences in crossed products of full factors. Zbl 0492.46049
Jones, V. F. R.
11
1982
Intersections of finite families of finite index subfactors. Zbl 1059.46043
Jones, Vaughan F. R.; Xu, Feng
10
2004
The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022
Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R.
10
2018
On the construction of knots and links from Thompson’s groups. Zbl 1423.57013
Jones, Vaughan F. R.
9
2019
Singly generated planar algebras of small dimension. III. Zbl 1370.46036
Bisch, Dietmar; Jones, Vaughan F. R.; Liu, Zhengwei
9
2017
A note on free composition of subfactors. Zbl 0968.46045
Bisch, Dietmar; Jones, Vaughan
9
1997
Subfactors and related topics. Zbl 0692.46049
Jones, V. F. R.
9
1988
Models of finite group actions. Zbl 0551.46043
Herman, Richard H.; Jones, Vaughan F. R.
9
1983
On a family of almost commuting endomorphisms. Zbl 0821.46076
Jones, V. F. R.
9
1994
In and around the origin of quantum groups. Zbl 1129.81046
Jones, Vaughan F. R.
9
2007
Two subfactors and the algebraic decomposition of bimodules over II\(_1\) factors. Zbl 1182.46049
Jones, Vaughan F. R.
8
2008
On spectral measures for certain unitary representations of R. Thompson’s group F. Zbl 1451.81384
Aiello, Valeriano; Jones, Vaughan F. R.
8
2021
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
Von Neumann algebras in mathematics and physics. Zbl 0781.46046
Jones, Vaughan F. R.
7
1991
On the symmetric enveloping algebra of planar algebra subfactors. Zbl 1296.46054
Curran, Stephen; Jones, Vaughan F. R.; Shlyakhtenko, Dimitri
6
2014
Paires de sous-algèbres semi-simples et graphes fortement réguliers. (Pairs of semi-simple subalgebras and strongly regular graphs). Zbl 0707.46039
De la Harpe, Pierre; Jones, Vaughan
6
1990
Subfactors of type \(II_ 1\) factors and related topics. Zbl 0674.46034
Jones, V. F. R.
6
1987
Index for subrings of rings. Zbl 0607.46033
Jones, V. F. R.
6
1985
Relative cohomology of groups. Zbl 0544.20047
Habegger, Nathan; Jones, Vaughan; Pino Ortiz, Oscar; Ratcliffe, John
5
1984
Hilbert modules over a planar algebra and the Haagerup property. Zbl 1339.46058
Brothier, Arnaud; Jones, Vaughan F. R.
4
2015
Knots, groups, subfactors and physics. Zbl 1361.46048
Jones, Vaughan F. R.
4
2016
An invariant for group actions. Zbl 0497.46044
Jones, V. F. R.
4
1979
Commuting squares and invariants of combinatorial structures. (Carrés commutatifs et invariants de structures combinatoires.) Zbl 0826.16024
Bacher, Roland; de la Harpe, Pierre; Jones, Vaughan
4
1995
Commuting transfer matrices and link polynomials. Zbl 0774.57005
Jones, V. F. R.
4
1992
Von Neumann algebras in mathematics and physics. Zbl 1356.46001
Jones, Vaughan
3
2015
Notes on subfactors and statistical mechanics. Zbl 0822.46074
Jones, V. F. R.
3
1994
Notes on subfactors and statistical mechanics. Zbl 0737.46042
Jones, V. F. R.
3
1990
A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0432.46062
Jones, V. F. R.
3
1980
Central sequences in crossed products. Zbl 0624.46044
Herman, Richard H.; Jones, Vaughan F. R.
3
1987
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 0921.46066
Jones, Vaughan
3
1996
A credo of sorts. Zbl 1041.57500
Jones, V. F. R.
3
1998
On the origin and development of subfactors and quantum topology. Zbl 1169.46030
Jones, Vaughan
3
2009
Sur la conjugaison de sous-facteurs de facteurs de type \(II_1\). Zbl 0344.46128
Jones, Vaughan
3
1977
Infinite index subfactors and the GICAR categories. Zbl 1338.46067
Jones, Vaughan F. R.; Penneys, David
2
2015
A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066
Jones, Vaughan F. R.; Rolfsen, Dale P. O.
2
1994
Notes on subfactors and statistical mechanics. Zbl 0725.46038
Jones, V. F. R.
2
1989
Antiautomorphismes involutifs du facteur hyperfini de type \(II_1\). Zbl 0428.46047
Giordano, Thierry; Jones, Vaughan
2
1980
Prime actions of compact abelian groups on the hyperfinite type \(II_ 1 \)factor. Zbl 0508.46043
Jones, V. F. R.
2
1983
Irreducibility of the wysiwyg representations of Thompson’s groups. Zbl 1509.46040
Jones, Vaughan F. R.
2
2021
Actions of discrete groups on factors. Zbl 0503.46045
Jones, V. F. R.
1
1982
Knots, braids and statistical mechanics. Zbl 0772.57008
Jones, V. F. R.
1
1990
Groupes de tresses, algèbres de Hecke et facteurs de type \(II_ 1\). (Braid groups, Hecke algebras and type \(II_ 1\) factors). Zbl 0597.20034
Jones, Vaughan
1
1984
Knots, braids, statistical mechanics and von Neumann algebras. Zbl 0758.57002
Jones, Vaughan
1
1992
Bergman space zero sets, modular forms, von Neumann algebras and ordered groups. Zbl 1521.30065
Jones, Vaughan F. R.
1
2023
Subfactors and applications. Abstracts from the workshop held October 27 – November 2, 2019. Zbl 1454.00043
1
2019
Bergman space zero sets, modular forms, von Neumann algebras and ordered groups. Zbl 1521.30065
Jones, Vaughan F. R.
1
2023
Planar algebras. I. Zbl 1484.46067
Jones, V. F. R.
20
2021
On spectral measures for certain unitary representations of R. Thompson’s group F. Zbl 1451.81384
Aiello, Valeriano; Jones, Vaughan F. R.
8
2021
Irreducibility of the wysiwyg representations of Thompson’s groups. Zbl 1509.46040
Jones, Vaughan F. R.
2
2021
Pythagorean representations of Thompson’s groups. Zbl 1512.22006
Brothier, Arnaud; Jones, Vaughan F. R.
14
2019
On the Haagerup and Kazhdan properties of R. Thompson’s groups. Zbl 1515.20212
Brothier, Arnaud; Jones, Vaughan F. R.
11
2019
On the construction of knots and links from Thompson’s groups. Zbl 1423.57013
Jones, Vaughan F. R.
9
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 1397.82025
Jones, Vaughan F. R.
26
2018
Scale invariant transfer matrices and Hamiltionians. Zbl 1387.82010
Jones, Vaughan F. R.
11
2018
The Homflypt polynomial and the oriented Thompson group. Zbl 1397.57022
Aiello, Valeriano; Conti, Roberto; Jones, Vaughan F. R.
10
2018
Some unitary representations of Thompson’s groups \(F\) and \(T\). Zbl 1472.57014
Jones, Vaughan F. R.
38
2017
Singly generated planar algebras of small dimension. III. Zbl 1370.46036
Bisch, Dietmar; Jones, Vaughan F. R.; Liu, Zhengwei
9
2017
Knots, groups, subfactors and physics. Zbl 1361.46048
Jones, Vaughan F. R.
4
2016
Hilbert modules over a planar algebra and the Haagerup property. Zbl 1339.46058
Brothier, Arnaud; Jones, Vaughan F. R.
4
2015
Von Neumann algebras in mathematics and physics. Zbl 1356.46001
Jones, Vaughan
3
2015
Infinite index subfactors and the GICAR categories. Zbl 1338.46067
Jones, Vaughan F. R.; Penneys, David
2
2015
The classification of subfactors of index at most 5. Zbl 1301.46039
Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah
55
2014
On the symmetric enveloping algebra of planar algebra subfactors. Zbl 1296.46054
Curran, Stephen; Jones, Vaughan F. R.; Shlyakhtenko, Dimitri
6
2014
Quadratic tangles in planar algebras. Zbl 1257.46033
Jones, Vaughan F. R.
38
2012
Subfactors of index less than 5. III: Quadruple points. Zbl 1272.46051
Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah
18
2012
Loop models, random matrices and planar algebras. Zbl 1277.82013
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P.
15
2012
The embedding theorem for finite depth subfactor planar algebras. Zbl 1230.46055
Jones, Vaughan F. R.; Penneys, David
25
2011
A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054
Guionnet, A.; Jones, V.; Shlyakhtenko, D.
19
2011
Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.
47
2010
An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067
Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin
21
2010
A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1191.68313
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph
26
2009
On the origin and development of subfactors and quantum topology. Zbl 1169.46030
Jones, Vaughan
3
2009
Two subfactors and the algebraic decomposition of bimodules over II\(_1\) factors. Zbl 1182.46049
Jones, Vaughan F. R.
8
2008
Intermediate subfactors with no extra structure. Zbl 1131.46041
Grossman, Pinhas; Jones, Vaughan F. R.
24
2007
In and around the origin of quantum groups. Zbl 1129.81046
Jones, Vaughan F. R.
9
2007
Hilbert space representations of the annular Temperley-Lieb algebra. Zbl 1131.46042
Jones, Vaughan F. R.; Reznikoff, Sarah A.
23
2006
A polynomial quantum algorithm for approximating the Jones polynomial. Zbl 1301.68129
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph
19
2006
Intersections of finite families of finite index subfactors. Zbl 1059.46043
Jones, 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 1041.46048
Bisch, Dietmar; Jones, Vaughan
13
2003
The annular structure of subfactors. Zbl 1019.46036
Jones, Vaughan F. R.
56
2001
The planar algebra of a bipartite graph. Zbl 1021.46047
Jones, Vaughan F. R.
29
2000
Singly generated planar algebras of small dimension. Zbl 1075.46053
Bisch, Dietmar; Jones, Vaughan
28
2000
Ten problems. Zbl 0969.57001
Jones, V. F. R.
19
2000
Planar algebras. I. Zbl 1328.46049
Jones, V. F. R.
136
1999
Lissajous knots and billiard knots. Zbl 0901.57012
Jones, Vaughan F. R.; Przytycki, Józef H.
20
1998
A credo of sorts. Zbl 1041.57500
Jones, V. F. R.
3
1998
Introduction to subfactors. Zbl 0903.46062
Jones, V.; Sunder, V. S.
119
1997
Algebras associated to intermediate subfactors. Zbl 0891.46035
Bisch, Dietmar; Jones, Vaughan
77
1997
A note on free composition of subfactors. Zbl 0968.46045
Bisch, 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 0921.46066
Jones, Vaughan
3
1996
Commuting squares and invariants of combinatorial structures. (Carrés commutatifs et invariants de structures combinatoires.) Zbl 0826.16024
Bacher, Roland; de la Harpe, Pierre; Jones, Vaughan
4
1995
The Potts model and the symmetric group. Zbl 0938.20505
Jones, V. F. R.
102
1994
A quotient of the affine Hecke algebra in the Brauer algebra. Zbl 0852.20035
Jones, V. F. R.
39
1994
Lissajous knots. Zbl 0834.57005
Bogle, M. G. V.; Hearst, J. E.; Jones, V. F. R.; Stoilov, L.
22
1994
On a family of almost commuting endomorphisms. Zbl 0821.46076
Jones, V. F. R.
9
1994
Notes on subfactors and statistical mechanics. Zbl 0822.46074
Jones, V. F. R.
3
1994
A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066
Jones, Vaughan F. R.; Rolfsen, Dale P. O.
2
1994
On the invariants of torus knots derived from quantum groups. Zbl 0787.57006
Rosso, Marc; Jones, Vaughan
74
1993
Graph invariants related to statistical mechanical models: Examples and problems. Zbl 0729.57003
de la Harpe, Pierre; Jones, V. F. R.
35
1993
Commuting transfer matrices and link polynomials. Zbl 0774.57005
Jones, V. F. R.
4
1992
Knots, braids, statistical mechanics and von Neumann algebras. Zbl 0758.57002
Jones, Vaughan
1
1992
Baxterization. Zbl 0744.57005
Jones, V. F. R.
29
1991
Subfactors and knots. Expository lectures from the CBMS regional conference, held at the US Naval Academy, Annapolis, USA, June 5-11, 1988. Zbl 0743.46058
Jones, Vaughan F. R.
18
1991
Von Neumann algebras in mathematics and physics. Zbl 0781.46046
Jones, Vaughan F. R.
7
1991
Baxterization. Zbl 0723.57003
Jones, V. F. R.
39
1990
Paires de sous-algèbres semi-simples et graphes fortement réguliers. (Pairs of semi-simple subalgebras and strongly regular graphs). Zbl 0707.46039
De la Harpe, Pierre; Jones, Vaughan
6
1990
Notes on subfactors and statistical mechanics. Zbl 0737.46042
Jones, V. F. R.
3
1990
Knots, braids and statistical mechanics. Zbl 0772.57008
Jones, V. F. R.
1
1990
Coxeter graphs and towers of algebras. Zbl 0698.46050
Goodman, Frederick M.; De la Harpe, Pierre; Jones, Vaughan F. R.
332
1989
On knot invariants related to some statistical mechanical models. Zbl 0695.46029
Jones, V. F. R.
140
1989
On a certain value of the Kauffman polynomial. Zbl 0695.57003
Jones, V. F. R.
53
1989
Metaplectic link invariants. Zbl 0678.57007
Goldschmidt, David M.; Jones, V. F. R.
29
1989
Notes on subfactors and statistical mechanics. Zbl 0725.46038
Jones, V. F. R.
2
1989
Subfactors and related topics. Zbl 0692.46049
Jones, V. F. R.
9
1988
Hecke algebra representations of braid groups and link polynomials. Zbl 0631.57005
Jones, V. F. R.
597
1987
Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014
Jones, Vaughan F. R.; Schmidt, Klaus
39
1987
Subfactors of type \(II_ 1\) factors and related topics. Zbl 0674.46034
Jones, V. F. R.
6
1987
Central sequences in crossed products. Zbl 0624.46044
Herman, Richard H.; Jones, Vaughan F. R.
3
1987
Braid groups, Hecke algebras and type \(II_ 1\) factors. Zbl 0659.46054
Jones, V. F. R.
30
1986
A polynomial invariant for knots via von Neumann algebras. Zbl 0564.57006
Jones, Vaughan F. R.
581
1985
Property \(T\) for von Neumann algebras. Zbl 1190.46047
Connes, A.; Jones, V.
108
1985
Index for subrings of rings. Zbl 0607.46033
Jones, V. F. R.
6
1985
Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042
Jones, V. F. R.; Takesaki, M.
27
1984
Relative cohomology of groups. Zbl 0544.20047
Habegger, 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 0597.20034
Jones, Vaughan
1
1984
Index for subfactors. Zbl 0508.46040
Jones, V. F. R.
617
1983
A converse to Ocneanu’s theorem. Zbl 0547.46045
Jones, V. F. R.
16
1983
Models of finite group actions. Zbl 0551.46043
Herman, Richard H.; Jones, Vaughan F. R.
9
1983
Prime actions of compact abelian groups on the hyperfinite type \(II_ 1 \)factor. Zbl 0508.46043
Jones, V. F. R.
2
1983
A \(\text{II}_1\) factor with two nonconjugate Cartan subalgebras. Zbl 0501.46056
Connes, A.; Jones, V.
33
1982
Period two automorphisms of UHF C*-algebras. Zbl 0511.46057
Herman, Richard H.; Jones, Vaughan F. R.
21
1982
Some properties of MASA’s in factors. Zbl 0508.46041
Jones, V.; Popa, S.
13
1982
Central sequences in crossed products of full factors. Zbl 0492.46049
Jones, V. F. R.
11
1982
Actions of discrete groups on factors. Zbl 0503.46045
Jones, V. F. R.
1
1982
Actions of finite groups on the hyperfinite type \(II_ 1\) factor. Zbl 0454.46045
Jones, Vaughan F. R.
58
1980
A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0422.46051
Jones, V. F. R.
12
1980
A \(II_1\) factor anti-isomorphic to itself but without involutory antiautomorphisms. Zbl 0432.46062
Jones, V. F. R.
3
1980
Antiautomorphismes involutifs du facteur hyperfini de type \(II_1\). Zbl 0428.46047
Giordano, Thierry; Jones, Vaughan
2
1980
An invariant for group actions. Zbl 0497.46044
Jones, V. F. R.
4
1979
Sur la conjugaison de sous-facteurs de facteurs de type \(II_1\). Zbl 0344.46128
Jones, Vaughan
3
1977
all top 5

Cited by 2,110 Authors

50 Kauffman, Louis Hirsch
50 Popa, Sorin Teodor
34 Jones, Vaughan Frederick Randal
34 Morozov, Alexei Yurievich
32 Stoimenow, Alexander
28 Penneys, David
28 Vaes, Stefaan
26 Mironov, Andrei D.
25 Xu, Feng
24 Garoufalidis, Stavros
23 Longo, Roberto
22 Banica, Teodor
21 East, James
21 Kawahigashi, Yasuyuki
21 Lambropoulou, Sofia S. F.
20 Przytycki, Józef Henryk
19 Jin, Xian’an
19 Kanenobu, Taizo
19 Liu, Zhengwei
19 Morrison, Scott
19 Sunder, Viakalathur S.
18 Pearce, Paul A.
17 Evans, David E.
17 Houdayer, Cyril
17 Morozov, Andreĭ Alekseevich
17 Saleur, Hubert
16 Chifan, Ionuţ
16 Izumi, Masaki
15 Ioana, Adrian
14 Brothier, Arnaud
14 El Naschie, Mohamed Saladin
14 Halverson, Thomas
14 Jones, Corey
14 Le, Thang Tu Quoc
14 Martin, Paul Purdon
14 Morin-Duchesne, Alexi
14 Snyder, Noah
13 Murakami, Hitoshi
13 Rowell, Eric C.
13 Wang, Zhenghan
13 Xue, Kang
12 Conti, Roberto
12 Ge, Molin
12 Regts, Guus
11 Aiello, Valeriano
11 Birman, Joan S.
11 Juyumaya, Jesús
11 Kodiyalam, Vijay
11 Orellana, Rosa C.
11 Ramadevi, Pichai
11 Schrijver, Alexander
11 Szabó, Gábor
11 Wenzl, Hans
10 Bakshi, Keshab Chandra
10 Bisch, Dietmar H.
10 Grossman, Pinhas
10 Jaeger, François
10 Manturov, Vassiliĭ Olegovich
10 Masuda, Toshihiko
10 Nomura, Kazumasa
10 Saito, Masahico
9 Ghosh, Shamindra Kumar
9 Giorgetti, Luca
9 Goodman, Frederick M.
9 Marrakchi, Amine
9 Nawata, Satoshi
9 Shlyakhtenko, Dimitri L.
9 Tomatsu, Reiji
9 Wu, Jinsong
9 Zhang, Fuji
8 Altintas, Ismet
8 Benkart, Georgia McClure
8 Green, Richard M.
8 Hajij, Mustafa
8 Hartglass, Michael
8 Hikami, Kazuhiro
8 Jacobsen, Jesper Lykke
8 Jiang, Lining
8 Kadison, Lars
8 Nicoara, Remus
8 Nikshych, Dmitri
8 Singh, Vivek Kumar
8 Tucker-Drob, Robin D.
8 Watatani, Yasuo
8 Zhang, Ruibin
8 Zuber, Jean-Bernard
7 Bigelow, Stephen J.
7 Carpi, Sebastiano
7 Carter, J. Scott
7 Choda, Marie
7 de la Harpe, Pierre
7 Freedman, Michael Hartley
7 Gould, Mark D.
7 Guionnet, Alice
7 Kida, Yoshikata
7 Labastida, José M. F.
7 Lehrer, Gustav Isaac
7 Mazorchuk, Volodymyr
7 Murakami, Jun
7 Pecker, Daniel
...and 2,010 more Authors
all top 5

Cited in 308 Serials

194 Journal of Knot Theory and its Ramifications
155 Communications in Mathematical Physics
127 Journal of Functional Analysis
84 Journal of Algebra
81 Advances in Mathematics
74 Transactions of the American Mathematical Society
69 Journal of Mathematical Physics
69 International Journal of Mathematics
61 Nuclear Physics. B
56 Proceedings of the American Mathematical Society
48 Journal of High Energy Physics
41 Algebraic & Geometric Topology
39 Topology and its Applications
36 Letters in Mathematical Physics
35 Journal of Pure and Applied Algebra
31 Inventiones Mathematicae
31 Journal of Statistical Mechanics: Theory and Experiment
30 Mathematical Proceedings of the Cambridge Philosophical Society
30 Journal of Algebraic Combinatorics
27 Journal of Geometry and Physics
26 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Mathematische Annalen
24 Quantum Information Processing
23 Chaos, Solitons and Fractals
23 Duke Mathematical Journal
23 Bulletin of the American Mathematical Society. New Series
21 Journal of Physics A: Mathematical and Theoretical
20 Quantum Topology
19 Ergodic Theory and Dynamical Systems
18 Theoretical and Mathematical Physics
17 Communications in Algebra
17 Journal of Combinatorial Theory. Series A
17 Mathematische Zeitschrift
17 Geometry & Topology
15 Annals of Physics
15 Selecta Mathematica. New Series
14 International Journal of Theoretical Physics
14 Annales de l’Institut Fourier
14 Linear Algebra and its Applications
12 Reviews in Mathematical Physics
12 European Journal of Combinatorics
12 Journal of the American Mathematical Society
11 Discrete Mathematics
11 Journal of Statistical Physics
11 Journal für die Reine und Angewandte Mathematik
11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
11 Experimental Mathematics
11 Journal of Mathematical Sciences (New York)
11 Algebras and Representation Theory
11 Science China. Mathematics
10 Discrete Applied Mathematics
10 Israel Journal of Mathematics
10 Physics Letters. B
10 Acta Mathematica
10 Compositio Mathematica
10 Journal of the London Mathematical Society. Second Series
10 Advances in Applied Mathematics
10 Annales Henri Poincaré
9 International Journal of Modern Physics A
9 Bulletin of the Australian Mathematical Society
9 Geometriae Dedicata
9 Glasgow Mathematical Journal
9 Memoirs of the American Mathematical Society
9 Proceedings of the Japan Academy. Series A
9 L’Enseignement Mathématique. 2e Série
9 Journal of Noncommutative Geometry
8 Algebraic Combinatorics
7 Journal of Mathematical Analysis and Applications
7 Pacific Journal of Mathematics
7 Expositiones Mathematicae
7 The Electronic Journal of Combinatorics
7 Acta Mathematica Sinica. English Series
7 Journal of Algebra and its Applications
6 Physica A
6 Rocky Mountain Journal of Mathematics
6 Acta Mathematica Vietnamica
6 Applied Mathematics and Computation
6 Journal of Combinatorial Theory. Series B
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 Communications in Contemporary Mathematics
6 International Journal of Quantum Information
6 Groups, Geometry, and Dynamics
6 Research in the Mathematical Sciences
5 Linear and Multilinear Algebra
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 The New York Journal of Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 International Journal of Geometric Methods in Modern Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Analysis & PDE
5 Journal of Combinatorial Algebra
4 Bulletin of the London Mathematical Society
4 Canadian Journal of Mathematics
4 Fundamenta Mathematicae
4 Integral Equations and Operator Theory
4 Journal of Soviet Mathematics
4 Osaka Journal of Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
...and 208 more Serials
all top 5

Cited in 55 Fields

957 Manifolds and cell complexes (57-XX)
788 Functional analysis (46-XX)
610 Quantum theory (81-XX)
534 Group theory and generalizations (20-XX)
321 Combinatorics (05-XX)
257 Nonassociative rings and algebras (17-XX)
240 Associative rings and algebras (16-XX)
206 Category theory; homological algebra (18-XX)
178 Statistical mechanics, structure of matter (82-XX)
133 Topological groups, Lie groups (22-XX)
107 Dynamical systems and ergodic theory (37-XX)
74 Global analysis, analysis on manifolds (58-XX)
61 Algebraic geometry (14-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
56 Computer science (68-XX)
55 Number theory (11-XX)
48 Operator theory (47-XX)
46 Abstract harmonic analysis (43-XX)
43 Differential geometry (53-XX)
40 Probability theory and stochastic processes (60-XX)
35 Measure and integration (28-XX)
34 Algebraic topology (55-XX)
30 Relativity and gravitational theory (83-XX)
24 Mathematical logic and foundations (03-XX)
23 Special functions (33-XX)
22 History and biography (01-XX)
21 Information and communication theory, circuits (94-XX)
18 Biology and other natural sciences (92-XX)
15 Numerical analysis (65-XX)
14 General and overarching topics; collections (00-XX)
14 Commutative algebra (13-XX)
14 Several complex variables and analytic spaces (32-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
10 Functions of a complex variable (30-XX)
9 \(K\)-theory (19-XX)
9 Partial differential equations (35-XX)
7 Geometry (51-XX)
6 Convex and discrete geometry (52-XX)
6 Mechanics of particles and systems (70-XX)
5 General algebraic systems (08-XX)
5 Real functions (26-XX)
5 General topology (54-XX)
4 Field theory and polynomials (12-XX)
4 Statistics (62-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Approximations and expansions (41-XX)
2 Ordinary differential equations (34-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Integral equations (45-XX)
1 Systems theory; control (93-XX)

Citations by Year

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