AN ORTHOGONAL APPROACH TO THE SUBFACTOR OF A PLANAR ALGEBRA

By Vaughan F. R. Jones, D. Shlyakhtenko, Kevin Walker. 2008

49 citations recorded by the source corpus.

By changing to an orthogonal basis, we give a short proof that the subfactor of the graded algebra of a planar algebra reproduces the planar algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1c5e060e9a6592a12ee6fa23838000f1a493e1a8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Noah Snyder
2. S. Morrison
3. E. Peters
4. Stephen Bigelow
5. David Penneys
6. Vaughan F. R. Jones

In Geometry and Topology

1. Noah Snyder
2. S. Morrison
3. E. Peters
4. Stephen Bigelow
5. Vaughan F. R. Jones
6. Zhengwei Liu
7. David E. V. Rose
8. Bob Coecke

In Mathematical Physics

1. Noah Snyder
2. S. Morrison
3. E. Peters
4. Stephen Bigelow
5. Vaughan F. R. Jones
6. Zhengwei Liu
7. David E. V. Rose
8. Bob Coecke

Citations in the corpus

• Constructing the extended Haagerup planar algebra (2009, background): “planar algebra comes from a (canonically constructed, but not necessarily unique) subfactor of the free group factor L(F∞) [17], [34], [39], [57], while, on the other hand, there exist factors for which only the trivial planar algebra can be realized as the standard invariant of a subfactor [63].”