On the Construction of Families of type П<SUB>1</SUB> Subfactors Each Containing a Middle Subfactors
نویسندگان
چکیده
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15 صفحه اولThe Planar Algebra of Group-type Subfactors
If G is a countable, discrete group generated by two finite subgroups H and K and P is a II1 factor with an outer G-action, one can construct the group-type subfactor P H ⊂ P ⋊K introduced in [3]. This construction was used in [3] to obtain numerous examples of infinite depth subfactors whose standard invariant has exotic growth properties. We compute the planar algebra (in the sense of Jones [...
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Normalizers of Irreducible Subfactors
We consider normalizers of an irreducible inclusion N ⊆ M of II1 factors. In the infinite index setting an inclusion uNu∗ ⊆ N can be strict, forcing us to also investigate the semigroup of one-sided normalizers. We relate these normalizers of N in M to projections in the basic construction and show that every trace one projection in the relative commutant N ′ ∩ 〈M, eN 〉 is of the form ueNu for ...
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ژورنال
عنوان ژورنال: American Journal of Mathematical Analysis
سال: 2015
ISSN: 2333-8490
DOI: 10.12691/ajma-3-2-4