The cup subalgebra of aII1factor given by a subfactor planar algebra is maximal amenable
نویسندگان
چکیده
منابع مشابه
A Planar Algebra Construction of the Haagerup Subfactor
Most known examples of subfactors occur in families, coming from algebraic objects such as groups, quantum groups and rational conformal field theories. The Haagerup subfactor is the smallest index finite-depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated to the Haagerup subfactor, which provides a new proof of the existence o...
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Starting from a subfactor planar algebra, a construction was given in [GJS07] of a tower of II1 factors whose standard invariant is precisely the given planar algebra. The construction was entirely in terms of planar diagrams and gave a diagrammatic reproof of a result of Popa in [Pop95]. The inspiration for the paper was from the theory of large random matrices where expected values of words o...
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We find a new obstruction to the principal graphs of subfactors. It shows that in a certain family of 3-supertransitive principal graphs, there must be a cycle by depth 6, with one exception, the principal graph of the Haagerup subfactor. This is the published version of arXiv:1302.5148. A II1 subfactor is an inclusion A ⊂ B of infinite von Neumann algebras with trivial centre and a compatible ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2014
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2014.269.19