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Peters, Emily

A planar algebra construction of the Haagerup subfactor. (English) Zbl 1203.46039

Int. J. Math. 21, No. 8, 987-1045 (2010).
Summary: 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 of the Haagerup subfactor. Our technique is to find the Haagerup planar algebra as a singly generated subfactor planar algebra that is contained inside a graph planar algebra.

Cited in 2 Reviews
Cited in 28 Documents

MSC:

46L37 Subfactors and their classification

Keywords:

subfactors; Haagerup subfactor; planar algebra; skein theory
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\textit{E. Peters}, Int. J. Math. 21, No. 8, 987--1045 (2010; Zbl 1203.46039)
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