Fetching the paper…
Reading the bibliography…
In the first part of this paper, we give a new look at inclusions of von Neumann algebras with finite-dimensional centers and finite Jones' index.
Inductive limits of finite dimensional
O. Bratteli · 1972
Earlier work this paper cites.
Groupe modulaire d’une espérance conditionnele dans une algèbre de von Neumann
F. Combes and C. Delaroche · 1975
Earlier work this paper cites.
Operator-valued weights in von Neumann algebras. II
U. Haagerup · 1979
Earlier work this paper cites.
Methods of modern mathematical physics. I. Functional analysis
M. Reed and B. Simon · 1980
Earlier work this paper cites.
Index for subfactors
V. F. R. Jones · 1983
Earlier work this paper cites.
W ∗ W^{\ast} -categories
P. Ghez, R. Lima, and J. E. Roberts · 1985
Earlier work this paper cites.
Extension of Jones’ theory on index to arbitrary factors
H. Kosaki · 1986
Earlier work this paper cites.
Entropy and index for subfactors
M. Pimsner and S. Popa · 1986
Earlier work this paper cites.
Hecke algebra representations of braid groups and link polynomials
V. F. R. Jones · 1987
Earlier work this paper cites.
Indice d’une espérance conditionnelle
M. Baillet, Y. Denizeau, and J.-F. Havet · 1988
Earlier work this paper cites.
Minimizing indices of conditional expectations onto a subfactor
F. Hiai · 1988
Earlier work this paper cites.
Coxeter graphs and towers of algebras
F. M. Goodman, P. de la Harpe, and V. F. R. Jones · 1989
Earlier work this paper cites.
Index of subfactors and statistics of quantum fields. I
R. Longo · 1989
Earlier work this paper cites.
Espérance conditionnelle minimale
J.-F. Havet · 1990
Earlier work this paper cites.
The spectral radius of a product of nonnegative matrices
C. R. Johnson and R. Bru · 1990
Cited alongside, same era.
Index for pairs of finite von Neumann algebras
P. Jolissaint · 1990
Cited alongside, same era.
Index of subfactors and statistics of quantum fields. II. Correspondences, braid group statistics and Jones polynomial
R. Longo · 1990
Cited alongside, same era.
Indice d’espérances conditionnelles et algèbres de von Neumann finies
P. Jolissaint · 1991
Cited alongside, same era.
Finite-dimensional approximation of pairs of algebras and obstructions for the index
M. Pimsner and S. Popa · 1991
Cited alongside, same era.
A remark on the minimal index of subfactors
H. Kosaki and R. Longo · 1992
Cited alongside, same era.
Type III factors and index theory
H. Kosaki · 1998
Later among the works it cites.
Categories for the working mathematician
S. Mac Lane · 1998
Later among the works it cites.
Bicategories of operator algebras and Poisson manifolds
N. P. Landsman · 2001
Later among the works it cites.
Subfactors, planar algebras and rotations
M. Burns · 2003
Later among the works it cites.
Higher operads, higher categories
T. Leinster · 2004
Later among the works it cites.
Matrix analysis
R. A. Horn and C. R. Johnson · 2013
Later among the works it cites.
Dualizability and index of subfactors
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Minimal index and braided subfactors
R. Longo · 1992
Cited alongside, same era.
Index for von Neumann algebras with finite-dimensional centers
T. Teruya · 1992
Cited alongside, same era.
Noncommutative geometry
A. Connes · 1994
Cited alongside, same era.
Modular structure of the crossed product by a compact group dual
T. Isola · 1995
Cited alongside, same era.
The multiplicativity of the minimal index of simple
S. Kawakami and Y. Watatani · 1995
Cited alongside, same era.
Classification of subfactors and their endomorphisms
S. Popa · 1995
Cited alongside, same era.
A. Bartels, C. L. Douglas, and A. Henriques · 2014
Later among the works it cites.
Tensor categories and endomorphisms of von Neumann algebras. With applications to quantum field theory
M. Bischoff, Y. Kawahigashi, R. Longo, and K.-H. Rehren · 2015
Later among the works it cites.
Tensor categories
P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik · 2015
Later among the works it cites.
P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, and N. Suthichitranont · 2017
Later among the works it cites.
L. Giorgetti, W. Yuan · 2017
Later among the works it cites.
Bicommutant categories from fusion categories
A. Henriques and D. Penneys · 2017
Later among the works it cites.
On Landauer’s principle and bound for infinite systems
R. Longo · 2017
Later among the works it cites.
Y. Sawada and S. Yamagami · 2017
Later among the works it cites.