# On the Guionnet-Jones-Shlyakhtenko construction for graphs

Research paper by Vijay Kodiyalam, V. S. Sunder

Indexed on: 24 Mar '10Published on: 24 Mar '10Published in: Mathematics - Operator Algebras

#### 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.