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Growing out of the initial connections between subfactors and knot theory that gave rise to the Jones polynomial, Jones' axiomatization of the standard invariant of an extremal finite index $II_1$ subfactor as a spherical $C^*$-planar algebra, presented in arXiv:math.QA/9909027, is the most elegant and powerful description available.
Automorphic group representations
Robert J. Blattner · 1958
Earlier work this paper cites.
Automorphic group representations: a new proof of Blattner’s theorem
Pierre de la Harpe and R. J. Plymen · 1979
Earlier work this paper cites.
Operator-valued weights in von Neumann algebras. I
Uffe Haagerup · 1979
Earlier work this paper cites.
Theory of operator algebras. I
Masamichi Takesaki · 1979
Earlier work this paper cites.
On the spatial theory of von Neumann algebras
Alain Connes · 1980
Earlier work this paper cites.
On a problem of R. V. Kadison on maximal abelian ∗ \ast -subalgebras in factors
Sorin Popa · 1981
Earlier work this paper cites.
Index for subfactors
Vaughan Jones · 1983
Earlier work this paper cites.
Fundamentals of the theory of operator algebras. Vol. I
Richard V. Kadison and John R. Ringrose · 1983
Earlier work this paper cites.
Sur le produit tensoriel relatif d’espaces de Hilbert
Jean-Luc Sauvageot · 1983
Earlier work this paper cites.
Extension of Jones’ theory on index to arbitrary factors
Hideki Kosaki · 1986
Earlier work this paper cites.
Entropy and index for subfactors
Mihai Pimsner and Sorin Popa · 1986
Earlier work this paper cites.
Iterating the basic construction
Mihai Pimsner and Sorin Popa · 1988
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Index theory and Galois theory for infinite index inclusions of factors
Richard Herman and Adrian Ocneanu · 1989
Cited alongside, same era.
On type II {\rm II} and type III {\rm III} principal graphs of subfactors
Masaki Izumi · 1993
Cited alongside, same era.
Classification of amenable subfactors of type II
Sorin Popa · 1994
Cited alongside, same era.
An introduction to C ∗ C^{*} -algebras
Vaughan Jones and Pierre de la Harpe · 1995
Cited alongside, same era.
An axiomatization of the lattice of higher relative commutants of a subfactor
Sorin Popa · 1995
Cited alongside, same era.
Definitions: operads, algebras and modules
J. May · 1997
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A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
Masaki Izumi, Roberto Longo, and Sorin Popa · 1998
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Type III factors and index theory
Hideki Kosaki · 1998
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Planar algebras I
Vaughan Jones · 1999
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Singly generated planar algebras of small dimension
Dietmar Bisch and Vaughan Jones · 2000
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Commutators Associated to a Subfactor and its Relative Commutants
Hsiang-Ping Huang · 2000
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Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras
Michel Enock and Ryszard Nest · 1996
Cited alongside, same era.
Bimodules, higher relative commutants and the fusion algebra associated to a subfactor
Dietmar Bisch · 1997
Cited alongside, same era.
Algebras associated to intermediate subfactors
Dietmar Bisch and Vaughan Jones · 1997
Cited alongside, same era.
A note on free composition of subfactors
Dietmar Bisch and Vaughan Jones · 1997
Cited alongside, same era.
Introduction to subfactors
V. Jones and V. S. Sunder · 1997
Cited alongside, same era.
Vaughan Jones · 2000
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The annular structure of subfactors
Vaughan Jones · 2001
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Universal construction of subfactors
Sorin Popa · 2002
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Theory of operator algebras. II
M. Takesaki · 2003
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