Vaughan F. R. Jones

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bergman space zero sets, modular forms, von Neumann algebras and ordered groups	2023	Vaughan F. R. Jones
+ PDF Chat	Planar algebras	2021	Vaughan F. R. Jones
+ PDF Chat	Motzkin algebras and the An tensor categories of bimodules	2021	Vaughan F. R. Jones Jun Yang
+	Irreducibility of the Wysiwyg Representations of Thompson’s Groups	2021	Vaughan F. R. Jones
+ PDF Chat	Subfactors and Applications	2020	Dietmar Bisch Terry Gannon Vaughan F. R. Jones Yasuyuki Kawahigashi
+	On spectral measures for certain unitary representations of R. Thompson's group F	2020	Valeriano Aiello Vaughan F. R. Jones
+	Motzkin Algebras and the $A_n$ Tensor Categories of Bimodules	2020	Vaughan F. R. Jones Jun Yang
+	Bergman space zero sets, modular forms, von Neumann algebras and ordered groups	2020	Vaughan F. R. Jones
+	Bergman space zero sets, modular forms, von Neumann algebras and ordered groups	2020	Vaughan F. R. Jones
+	Irreducibility of the Wysiwyg representations of Thompson's groups	2019	Vaughan F. R. Jones
+ PDF Chat	On the Haagerup and Kazhdan properties of R. Thompson’s groups	2019	Arnaud Brothier Vaughan F. R. Jones
+	Pythagorean representations of Thompson's groups	2019	Arnaud Brothier Vaughan F. R. Jones
+ PDF Chat	On the Construction of Knots and Links from Thompson’s Groups	2019	Vaughan F. R. Jones
+	Knots, Low-Dimensional Topology and Applications	2019	Colin Adams Cameron McA. Gordon Vaughan F. R. Jones Louis H. Kauffman Sofia Lambropoulou Kenneth C. Millett Józef H. Przytycki Renzo L. Ricca Radmila Sazdanović
+	Irreducibility of the Wysiwyg representations of Thompson's groups	2019	Vaughan F. R. Jones
+	On the construction of knots and links from Thompson's groups	2018	Vaughan F. R. Jones
+	Pythagorean representations of Thompson's groups	2018	Arnaud Brothier Vaughan F. R. Jones
+ PDF Chat	The Homflypt polynomial and the oriented Thompson group	2018	Valeriano Aiello Roberto Conti Vaughan F. R. Jones
+	On the Haagerup and Kazhdan properties of R. Thompson's groups	2018	Arnaud Brothier Vaughan F. R. Jones
+ PDF Chat	Scale invariant transfer matrices and Hamiltionians	2018	Vaughan F. R. Jones
+	On the construction of knots and links from Thompson's groups	2018	Vaughan F. R. Jones
+	Pythagorean representations of Thompson's groups	2018	Arnaud Brothier Vaughan F. R. Jones
+	On the Haagerup and Kazhdan properties of R. Thompson's groups	2018	Arnaud Brothier Vaughan F. R. Jones
+ PDF Chat	A No-Go Theorem for the Continuum Limit of a Periodic Quantum Spin Chain	2017	Vaughan F. R. Jones
+ PDF Chat	Some unitary representations of Thompson’s groups $F$ and $T$	2016	Vaughan F. R. Jones
+	Singly generated planar algebras of small dimension, Part III	2016	Dietmar Bisch Vaughan F. R. Jones Zhengwei Liu
+	Knots, groups, subfactors and physics	2016	Vaughan F. R. Jones
+ PDF Chat	Subfactors and Conformal Field Theory	2016	Dietmar Bisch Terry Gannon Vaughan F. R. Jones Yasuyuki Kawahigashi
+	Hilbert modules over a planar algebra and the Haagerup property	2015	Arnaud Brothier Vaughan F. R. Jones
+ PDF Chat	Infinite Index Subfactors and the GICAR Categories	2015	Vaughan F. R. Jones David Penneys
+	KNOTS, GROUPS, SUBFACTORS AND PHYSICS	2015	Vaughan F. R. Jones
+	Hilbert modules over a planar algebra and the Haagerup property	2015	Arnaud Brothier Vaughan F. R. Jones
+	Hilbert modules over a planar algebra and the Haagerup property	2015	Arnaud Brothier Vaughan F. R. Jones
+	Some unitary representations of Thompson's groups F and T	2014	Vaughan F. R. Jones
+	Infinite index subfactors and the GICAR categories	2014	Vaughan F. R. Jones David Penneys
+	How Quantum Theory and Statistical Mechanics Gave a Polynomial of Knots	2014	Vaughan F. R. Jones
+	Singly generated planar algebras	2014	Dietmar Bisch Vaughan F. R. Jones Zhengwei Liu
+	Singly generated planar algebras of small dimension, Part III	2014	Dietmar Bisch Vaughan F. R. Jones Zhengwei Liu
+	Infinite index subfactors and the GICAR categories	2014	Vaughan F. R. Jones David Penneys
+	Some unitary representations of Thompson's groups F and T	2014	Vaughan F. R. Jones
+ PDF Chat	The classification of subfactors of index at most 5	2013	Vaughan F. R. Jones Scott Morrison Noah Snyder
+	On the symmetric enveloping algebra of planar algebra subfactors	2013	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+ PDF Chat	Loop Models, Random Matrices and Planar Algebras	2012	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko Paul Zinn-Justin
+ PDF Chat	Quadratic tangles in planar algebras	2012	Vaughan F. R. Jones
+ PDF Chat	Subfactors of Index Less Than 5, Part 3: Quadruple Points	2012	Masaki Izumi Vaughan F. R. Jones Scott Morrison Noah Snyder
+ PDF Chat	The embedding theorem for finite depth subfactor planar algebras	2011	Vaughan F. R. Jones David Penneys
+	A semi-finite algebra associated to a subfactor planar algebra	2011	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	On the symmetric enveloping algebra of planar algebra subfactors	2011	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+	On the symmetric enveloping algebra of planar algebra subfactors	2011	Stephen Curran Vaughan F. R. Jones Dimitri Shlyakhtenko
+	The embedding theorem for finite depth subfactor planar algebras	2010	Vaughan F. R. Jones David Penneys
+ PDF Chat	An orthogonal approach to the subfactor of a planar algebra	2010	Vaughan F. R. Jones Dimitri Shlyakhtenko Kevin Walker
+	The embedding theorem for finite depth subfactor planar algebras	2010	Vaughan F. R. Jones David Penneys
+	Von Neumann Algebras and Ergodic Theory of Group Actions	2009	Dietmar Bisch Damien Gaboriau Vaughan F. R. Jones Sorin Popa
+ PDF Chat	On the origin and development of subfactors and quantum topology	2009	Vaughan F. R. Jones
+	A semi-finite algebra associated to a planar algebra	2009	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	Von Neumann Algebras	2009	Vaughan F. R. Jones
+ PDF Chat	A Polynomial Quantum Algorithm for Approximating the Jones Polynomial	2008	Dorit Aharonov Vaughan F. R. Jones Zeph Landau
+	An orthogonal approach to the subfactor of a planar algebra	2008	Vaughan F. R. Jones Dimitri Shlyakhtenko Kevin Walker
+	Random matrices, free probability, planar algebras and subfactors	2007	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko
+	In and around the origin of quantum groups	2007	Vaughan F. R. Jones
+ PDF Chat	Hilbert space representations of the annular Temperley–Lieb algebra	2006	Vaughan F. R. Jones Sarah Reznikoff
+ PDF Chat	A polynomial quantum algorithm for approximating the Jones polynomial	2006	Dorit Aharonov Vaughan F. R. Jones Zeph Landau
+	Intermediate subfactors with no extra structure	2006	Pinhas Grossman Vaughan F. R. Jones
+	Highly transitive imprimitivities	2006	Marston Conder Vaughan F. R. Jones
+	The Jones Polynomial	2006	Vaughan F. R. Jones
+	The Jones Polynomial	2006	Vaughan F. R. Jones
+	A Polynomial Quantum Algorithm for Approximating the Jones Polynomial	2005	Dorit Aharonov Vaughan F. R. Jones Zeph Landau
+ PDF Chat	INTERSECTIONS OF FINITE FAMILIES OF FINITE INDEX SUBFACTORS	2004	Vaughan F. R. Jones Feng Xu
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	Intersections of finite families of finite index subfactors	2004	Vaughan F. R. Jones Feng Xu
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	Intermediate Subfactors with No Extra Structure	2004	Pinhas Grossman Vaughan F. R. Jones
+	Singly generated planar algebras of small dimension, Part II	2003	Dietmar Bisch Vaughan F. R. Jones
+	In and around the origin of quantum groups	2003	Vaughan F. R. Jones
+ PDF Chat	Book Review: Quantum symmetries on operator algebras	2001	Vaughan F. R. Jones
+	The Annular Structure of Subfactors	2001	Vaughan F. R. Jones
+	The Planar Algebra of a bipartite graph	2000	Vaughan F. R. Jones
+	Singly generated planar algebras of small dimension	2000	Dietmar Bisch Vaughan F. R. Jones
+	Planar algebras : between dimensions two, three and infinity	2000	Vaughan F. R. Jones
+	Planar algebras, I	1999	Vaughan F. R. Jones
+	Planar algebras, I	1999	Vaughan F. R. Jones
+ PDF Chat	Lissajous knots and billiard knots	1998	Vaughan F. R. Jones Józef H. Przytycki
+ PDF Chat	A POLYNOMIAL INVARIANT FOR KNOTS VIA VON NEUMANN ALGEBRAS	1997	Vaughan F. R. Jones
+	The principal and dual graphs	1997	Vaughan F. R. Jones
+	Introduction to Subfactors	1997	Vaughan F. R. Jones V. S. Sunder
+	Algebras associated to intermediate subfactors	1997	Vaughan F. R. Jones Dietmar Bisch
+	Fusion en algèbres de von Neumann et groupes de lacets	1995	Vaughan F. R. Jones
+	On a Family of Almost Commuting Endomorphisms	1994	Vaughan F. R. Jones
+	Graph Invariants Related to Statistical Mechanical Models: Examples and Problems	1993	P. Delaharpe Vaughan F. R. Jones
+	COMMUTING TRANSFER MATRICES AND LINK POLYNOMIALS	1992	Vaughan F. R. Jones
+	Knots in mathematics and physics	1992	Vaughan F. R. Jones
+	The Knot Polynomial 𝑉_{𝐿}	1991	Vaughan F. R. Jones
+ PDF Chat	Values of the Index, Virasoro Algebra	1991	Vaughan F. R. Jones
+ PDF Chat	Subfactors and Knots	1991	Vaughan F. R. Jones
+	NOTES ON SUBFACTORS AND STATISTICAL MECHANICS	1991	Vaughan F. R. Jones
+	KNOTS, BRAIDS AND STATISTICAL MECHANICS	1990	Vaughan F. R. Jones
+	Hecke algebra representations of braid groups and link polynomials	1990	Vaughan F. R. Jones
+ PDF Chat	A POLYNOMIAL INVARIANT FOR KNOTS VIA VON NEUMANN ALGEBRAS	1990	Vaughan F. R. Jones
+	NOTES ON SUBFACTORS AND STATISTICAL MECHANICS	1990	Vaughan F. R. Jones
+ PDF Chat	On a certain value of the Kauffman polynomial	1989	Vaughan F. R. Jones
+	Metaplectic link invariants	1989	DavidM. Goldschmidt Vaughan F. R. Jones
+ PDF Chat	On knot invariants related to some statistical mechanical models	1989	Vaughan F. R. Jones
+	Towers of multi-matrix algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+ PDF Chat	Coxeter Graphs and Towers of Algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+	Finite von Neumann Algebras with Finite Dimensional Centers	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+	Commuting sqares, subfactors, and the derived tower	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
+	Asymptotically Invariant Sequences and Approximate Finiteness	1987	Vaughan F. R. Jones Klaus Schmidt
+	Central sequences in crossed products	1987	Richard H. Herman Vaughan F. R. Jones
+ PDF Chat	Property T for von Neumann Algebras	1985	Alain Connes Vaughan F. R. Jones
+ PDF Chat	A polynomial invariant for knots via von Neumann algebras	1985	Vaughan F. R. Jones
+	Index for subrings of rings	1985	Vaughan F. R. Jones
+	Relative cohomology of groups	1984	Nathan Habegger Vaughan F. R. Jones Oscar Pino Ortiz John G. Ratcliffe
+ PDF Chat	Actions of compact abelian groups on semifinite injective factors	1984	Vaughan F. R. Jones Masamichi Takesaki
+ PDF Chat	Models of finite group actions.	1983	Richard H. Herman Vaughan F. R. Jones
+	Index for subfactors	1983	Vaughan F. R. Jones
+	Central sequences in crossed products of full factors	1982	Vaughan F. R. Jones
+	Period two automorphisms of UHF C∗-algebras	1982	Richard H. Herman Vaughan F. R. Jones
+ PDF Chat	A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras	1982	Alain Connes Vaughan F. R. Jones
+	Isomorphisms of Automorphism Groups of Type II Factors	1981	Vaughan F. R. Jones
+ PDF Chat	A $\mathrm{II}_1$ factor anti-isomorphic to itself but without involutory antiautomorphisms.	1980	Vaughan F. R. Jones
+	Actions of finite groups on the hyperfinite type II[subscript 1] factor	1980	Vaughan F. R. Jones
+	An invariant for group actions	1979	Vaughan F. R. Jones
+	Quantum mechanics over fields of non-zero characteristic	1976	Vaughan F. R. Jones

Common Coauthors

Coauthor	Papers Together
Arnaud Brothier	9
Dietmar Bisch	9
Dimitri Shlyakhtenko	9
David Penneys	6
Yasuyuki Kawahigashi	4
Frederick M. Goodman	4
Alice Guionnet	4
Józef H. Przytycki	4
Pierre de la Harpe	4
Dorit Aharonov	3
Zeph Landau	3
Richard H. Herman	3
Zhengwei Liu	3
Stéphane Baseilhac	2
Toshie Takata	2
Pinhas Grossman	2
H. Habiro	2
Thang T. Q. Lê	2
Valeriano Aiello	2
Dylan P. Thurston	2
Michael Polyak	2
Gregor Masbaum	2
Thomas Kerler	2
Terry Gannon	2
Gwénaël Massuyeau	2
Roger Fenn	2
Ami Haviv	2
Lev Rozansky	2
Nikos Askitas	2
Tomotada Ohtsuki	2
Jørgen Ellegaard Andersen	2
N. Okuda	2
Jun Murakami	2
C. Y. Park	2
J. S. Carter	2
Myeong–Ju Jeong	2
Masayuki Okamoto	2
S. K. Hansen	2
Andrew Kricker	2
Christine Lescop	2
Dror Bar-Natan	2
Rinat Kashaev	2
Yaichi Shinohara	2
Oleg Viro	2
Stephen Bigelow	2
Stavros Garoufalidis	2
Toshio Harikae	2
Nathan M. Dunfield	2
Emmanuel Ferrand	2
Hitoshi Murakami	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Index for subfactors	1983	Vaughan F. R. Jones	34
+ PDF Chat	Coxeter Graphs and Towers of Algebras	1989	Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones	25
+ PDF Chat	A polynomial invariant for knots via von Neumann algebras	1985	Vaughan F. R. Jones	20
+	An axiomatization of the lattice of higher relative commutants of a subfactor	1995	Sorin Popa	19
+	State models and the jones polynomial	1987	Louis H. Kauffman	19
+	Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem	1971	H. N. V. Temperley Élliott H. Lieb	17
+	Quantum Symmetries on Operator Algebras	1998	David Evans Yasuyuki Kawahigashi	17
+	Algebras associated to intermediate subfactors	1997	Vaughan F. R. Jones Dietmar Bisch	16
+	Quantized groups, string algebras, and Galois theory for algebras	1989	Adrian Ocneanu	15
+	Operator algebras and conformal field theory	1998	Antony Wassermann	12
+	The Annular Structure of Subfactors	2001	Vaughan F. R. Jones	11
+ PDF Chat	Exotic Subfactors of Finite Depth with Jones Indices $(5+\sqrt{13})/2$ and $(5+\sqrt{17})/2$	1999	Marta Asaeda Uffe Haagerup	10
+ PDF Chat	On knot invariants related to some statistical mechanical models	1989	Vaughan F. R. Jones	10
+	The Planar Algebra of a bipartite graph	2000	Vaughan F. R. Jones	9
+ PDF Chat	Braids, link polynomials and a new algebra	1989	Joan S. Birman Hans Wenzl	9
+	An enumeration of knots and links, and some of their algebraic properties	1970	James Conway	9
+	Planar algebras, I	1999	Vaughan F. R. Jones	9
+ PDF Chat	Classification of amenable subfactors of type II	1994	Sorin Popa	9
+	Braids, Links, and Mapping Class Groups	1974	Joan S. Birman	9
+	Superselection sectors with braid group statistics and exchange algebras	1989	Klaus Fredenhagen Karl-Henning Rehren Bert Schroer	9
+	Random matrices, free probability, planar algebras and subfactors	2007	Alice Guionnet Vaughan F. R. Jones Dimitri Shlyakhtenko	8
+	In and around the origin of quantum groups	2007	Vaughan F. R. Jones	8
+	Theory of Operator Algebras II	2003	Masamichi Takesaki	8
+ PDF Chat	Some unitary representations of Thompson’s groups $F$ and $T$	2016	Vaughan F. R. Jones	8
+	Classification of subfactors: the reduction to commuting squares	1990	Sorin Popa	8
+ PDF Chat	A new polynomial invariant of knots and links	1985	Peter Freyd David N. Yetter Jim Hoste W. B. R. Lickorish Kenneth C. Millett Adrian Ocneanu	8
+ PDF Chat	Quantum groups and subfactors of type B, C, and D	1990	Hans Wenzl	8
+	Hecke algebras of typeA n and subfactors	1988	Hans Wenzl	7
+ PDF Chat	An invariant of regular isotopy	1990	Louis H. Kauffman	7
+	Singly generated planar algebras of small dimension	2000	Dietmar Bisch Vaughan F. R. Jones	7
+ PDF Chat	Topological invariants of knots and links	1928	James Alexander	7
+	Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ � 1	1976	Alain Connes	7
+ PDF Chat	Hilbert space representations of the annular Temperley–Lieb algebra	2006	Vaughan F. R. Jones Sarah Reznikoff	7
+	Introduction to Subfactors	1997	Vaughan F. R. Jones V. S. Sunder	7
+ PDF Chat	A No-Go Theorem for the Continuum Limit of a Periodic Quantum Spin Chain	2017	Vaughan F. R. Jones	7
+	The Kauffman polynomial of links and representation theory	1987	Jun Murakami	7
+ PDF Chat	Quantum field theory and the Jones polynomial	1989	Edward Witten	7
+ PDF Chat	Constructing the extended Haagerup planar algebra	2012	Stephen Bigelow Emily Peters Scott Morrison Noah Snyder	7
+	Subfactors Constructed from Quantum Groups	1995	Stephen Sawin	6
+	Invariants of 3-manifolds via link polynomials and quantum groups	1991	Nicolai Reshetikhin Vladimir G. Turaev	6
+ PDF Chat	A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR	2010	Emily Peters	6
+	Bimodules, higher relative commutants, and the fusion algebra associated to a subfactor	1996	Dietmar Bisch	6
+ PDF Chat	A note on intermediate subfactors	1994	Dietmar Bisch	6
+	Operator Algebras and Conformal Field Theory III. Fusion of positive energy representations of LSU(N) using bounded operators	1998	Antony Wassermann	6
+ PDF Chat	Quadratic tangles in planar algebras	2012	Vaughan F. R. Jones	6
+ PDF Chat	Outer conjugacy classes of automorphisms of factors	1975	Alain Connes	6
+ PDF Chat	SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS	2011	Scott Morrison David Penneys Emily Peters Noah Snyder	5
+	Skein theory for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>planar algebras	2009	Scott Morrison Emily Peters Noah Snyder	5
+ PDF Chat	The classification of subfactors of index at most 5	2013	Vaughan F. R. Jones Scott Morrison Noah Snyder	5
+	Principal graphs of subfactors with small Jones index	1998	Dietmar Bisch	5