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In this series of papers we show that there are exactly ten subfactors, other than $A_\infty$ subfactors, of index between 4 and 5.
Actions of finite groups on the hyperfinite type II 1 {\rm II}_{1} factor
Vaughan F. R. Jones · 1980
Earlier work this paper cites.
Actions des groupes moyennables sur les algèbres de von Neumann
Adrian Ocneanu · 1980
Earlier work this paper cites.
Index for subfactors
Vaughan F. R. Jones · 1983
Earlier work this paper cites.
Quantized groups, string algebras and Galois theory for algebras
Adrian Ocneanu · 1988
Earlier work this paper cites.
Coxeter graphs and towers of algebras
Frederick M. Goodman, Pierre de la Harpe, and Vaughan F. R. Jones · 1989
Earlier work this paper cites.
Classification of subfactors: the reduction to commuting squares
Sorin Popa · 1990
Earlier work this paper cites.
Application of fusion rules to classification of subfactors
Masaki Izumi · 1991
Earlier work this paper cites.
Subfactors and classification in von Neumann algebras
Sorin Popa · 1991
Earlier work this paper cites.
State sum invariants of 3 3 -manifolds and quantum 6 j 6j -symbols
Vladimir G. Turaev and Oleg Ya. Viro · 1992
Earlier work this paper cites.
Markov traces on universal Jones algebras and subfactors of finite index
Sorin Popa · 1993
Earlier work this paper cites.
An example of an irreducible subfactor of the hyperfinite II 1 {\rm II}_{1} factor with rational, noninteger index
Dietmar Bisch · 1994
Earlier work this paper cites.
Principal graphs of subfactors in the index range 4 < [ M : N ] < 3 + 2 4<[M:N]<3+\sqrt{2}
Uffe Haagerup · 1994
Earlier work this paper cites.
Chirality for operator algebras
Adrian Ocneanu · 1994
Cited alongside, same era.
Classification of amenable subfactors of type II
Sorin Popa · 1994
Cited alongside, same era.
Classification of paragroup actions in subfactors
Yasuyuki Kawahigashi · 1995
Cited alongside, same era.
An axiomatization of the lattice of higher relative commutants of a subfactor
Sorin Popa · 1995
Cited alongside, same era.
Algebras associated to intermediate subfactors
Dietmar Bisch and Vaughan Jones · 1997
Cited alongside, same era.
Goldman’s type theorems in index theory
Masaki Izumi · 1997
Cited alongside, same era.
Principal graphs of subfactors with small Jones index
On a q q -analogue of the McKay correspondence and the ADE classification of 𝔰 𝔩 2 \mathfrak{sl}_{2} conformal field theories
Alexander Kirillov, Jr. and Viktor Ostrik · 2002
Later among the works it cites.
Quadratic tangles in planar algebras, 2003
Vaughan F. R. Jones · 2003
Later among the works it cites.
Hilbert space representations of the annular Temperley-Lieb algebra
Vaughan F. R. Jones and Sarah A. Reznikoff · 2006
Later among the works it cites.
Galois groups and an obstruction to principal graphs of subfactors
Marta Asaeda · 2007
Later among the works it cites.
Continuous families of hyperfinite subfactors with the same standard invariant
Dietmar Bisch, Remus Nicoara, and Sorin Popa · 2007
Later among the works it cites.
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Dietmar Bisch · 1998
Cited alongside, same era.
Spherical categories
John W. Barrett and Bruce W. Westbury · 1998
Cited alongside, same era.
The representation theory of affine Temperley-Lieb algebras
John J. Graham and Gus I. Lehrer · 1998
Cited alongside, same era.
Exotic subfactors of finite depth with Jones indices ( 5 + 13 ) / 2 (5+\sqrt{13})/2 and ( 5 + 17 ) / 2 (5+\sqrt{17})/2
Marta Asaeda and Uffe Haagerup · 1999
Cited alongside, same era.
The structure of sectors associated with Longo-Rehren inclusions. II. Examples
Masaki Izumi · 2001
Cited alongside, same era.
The annular structure of subfactors
Vaughan F. R. Jones · 2001
Cited alongside, same era.
Marta Asaeda and Seidai Yasuda · 2009
Later among the works it cites.
Constructing the extended Haagerup planar algebra, 2009
Stephen Bigelow, Scott Morrison, Emily Peters, and Noah Snyder · 2009
Later among the works it cites.
Cyclotomic integers, fusion categories, and subfactors, 2010
Frank Calegari, Scott Morrison, and Noah Snyder · 2010
Closest in time.
Classification of subfactors of index less than 5, part 2: triple points, 2010
Scott Morrison, David Penneys, Emily Peters, and Noah Snyder · 2010
Closest in time.
Classification of subfactors of index less than 5, part 4: cyclotomicity, 2010
David Penneys and James Tener · 2010
Closest in time.
A Construction of the Ò2221Ó Planar Algebra
Richard Han · 2052
Closest in time.