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subfactor
noun
A particular form of subalgebra
Exact(12)
LetNbe an irreducible subfactor of a typeII1factorM.
We compute the planar algebra of this subfactor and prove that any subfactor with an abstract planar algebra of "group type" arises from such a subfactor.
In contrast, the Labour Market subfactor measures such issues as labour costs and remuneration, working relations, and skills.
Given a subfactor planar algebra P, Guionnet, Jones and Shlyakhtenko give a diagrammatic construction of a II1 subfactor whose planar algebra is P.
For any abstract subfactor planar algebra P, there exists a finite index extremal subfactor M0⊂M1 with P as its standard invariant.
Guionnet et al. gave a construction of a II1 factor associated to a subfactor planar algebra.
We investigate the question of which finite lattices can be realized as intermediate subfactor lattices.
The range of each Powers shiftσis a subfactor of index 2 inR.
In fact, this method is universal for finite depth subfactor planar algebras.
A number of pair-wise comparisons are done, which result in the determination of factor and subfactor weights and factor evaluations.
We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor.
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