Unshaded planar algebras and their associated II_1 factors

Details Unshaded planar algebras and their associated II_1 factors Unshaded planar algebras and their associated II_1 factors

2012-02-06

arxiv.org/abs/1202.1298v1

Mathematics

Operator Algebras

Scientific paper

Guionnet et al. gave a construction of a II_1 factor associated to a
subfactor planar algebra. In this paper we define an unshaded planar algebra.
To any unshaded planar algebra P we associate a finite von Neumann algebra M_P.
We prove that M_P is a II_1 factor that contains a generic maximal abelian
subalgebra called the cup subalgebra.

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