On the Guionnet-Jones-Shlyakhtenko construction for graphs
arXiv:0911.2047
Abstract
Using an analogue of the Guionnet-Jones-Shlaykhtenko construction for graphs we show that their construction applied to any subfactor planar algebra of finite depth yields an inclusion of interpolated free group factors with finite parameter, thereby giving another proof of their universality for finite depth planar algebras.
42 pages, 12 figures. v2 has updated references and minor changes. v3 corrects some typos.
References in corpus (4)
- Random matrices, free probability, planar algebras and subfactors
- An orthogonal approach to the subfactor of a planar algebra
- A description of amalgamated free products of finite von Neumann algebras over finite dimensional subalgebras
- Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras