Results 11 to 20 of about 719 (134)

Classification of approximately inner automorphisms of subfactors [PDF]

Mathematische Annalen, 1997
For classification of approximately inner automorphisms of subfactors, we introduce a new invariant, a higher obstruction. From an algebraic viewpoint, this can be regarded as a generalization of the Connes obstruction, and from an analytic viewpoint, this can be regarded as a generalization of the Jones invariant \(\kappa\). We have two classification
Yasuyuki Kawahigashi
exaly   +3 more sources

A Systematic Multi-Criteria Quantitative Model for Evaluating the Change Order Impact on Contractors’ Cash Flow

Buildings
Construction projects in Saudi Arabia are frequently plagued by cost overruns and time delays, with change orders being a major contributing factor.
Altayeb Mohd Jamil Qasem
doaj   +2 more sources

Classification of Subfactors with the Principal Graph D1n

Journal of Functional Analysis, 1993
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Mitsuru Izumi, Yasuyuki Kawahigashi
exaly   +3 more sources

Classification of Strongly Amenable Subfactors of TypeIII0

Journal of Functional Analysis, 1997
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Carl Winsløw
exaly   +2 more sources

On Flatness of Ocneanu′s Connections on the Dynkin Diagrams and Classification of Subfactors

Journal of Functional Analysis, 1995
The author gives a proof of Ocneanu's announced classification of subfactors of the AFD type \(\text{II}_1\) factor with the principal graphs \(A_n\), \(D_n\), \(E_7\), the Dynkin diagrams, and gives a single explicit of \(\exp \pi\sqrt {-1}/ 24\) and \(\exp \pi\sqrt {-1}/ 60\) for each of \(E_6\) and \(E_8\) such that its validity is equivalent to the
Yasuyuki Kawahigashi
exaly   +2 more sources

Classification of amenable subfactors of type II

Acta Mathematica, 1994
A central problem arising in the theory of subfactors is the classification of subfactors \(N\subset M\) of finite index of the hyperfinite (or approximately finite dimensional) factors \(M\). The physically relevant invariant for such a subfactor is the lattice of its higher relative commutants \(\{M'_i\cap M_j\}_{i,j}\) in the Jones tower \(N\subset ...
Sorin Popa
exaly   +4 more sources

An analogue of Connes-Haagerup approach for classification of subfactors of type III$_{\bf 1}$

Journal of the Mathematical Society of Japan, 2005
Popa proved that strongly amenable subfactors of type I I I 1 with the same type I I and type I I I principal graphs are completely classified by their standard invariants. In this paper, we present a different proof of this classification theorem based on Connes and Haagerup's arguments on the uniqueness of the injective factor of type I I I 1 .
Toshihiko Masuda
exaly   +3 more sources

Classification of subfactors: the reduction to commuting squares

Inventiones Mathematicae, 1990
This article contains the proof for a difficult and fundamental result in the theory of subfactors in the sense of V. Jones. It is shown that any inclusion \(M\supset N\) of hyperfinite factors with finite index and finite depth is canonically obtained (as an inductive limit over the iterated ``basic construction'') from a so-called commuting square of
exaly   +2 more sources

On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams

Expositiones Mathematicae, 2010
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exaly   +2 more sources

Drinfeld centers of fusion categories arising from generalized Haagerup subfactors [PDF]

, 2023
We consider generalized Haagerup categories such that 1 ⊕ X admits a Q-system for every non-invertible simple object X. We show that in such a category, the group of order two invertible objects has size at most four.
Izumi, Masaki, Grossman, Pinhas
core   +1 more source