Planar algebra of families of subfactors

Author

Paramita Das, University of New Hampshire, Durham

Date of Award

Fall 2008

Project Type

Dissertation

Program or Major

Mathematics

Degree Name

Doctor of Philosophy

Abstract

The standard invariant is an object that classifies a fairly general class of subfactors and was reformulated by Vaughan Jones as 'planar algebras'. We compute the planar algebra of two families of subfactors arising out of actions of finitely generated groups on a II 1 factor in an attempt to see whether this class can be enlarged. This is a joint work with Dietmar Bisch and Shamindra Ghosh.

Recommended Citation

Das, Paramita, "Planar algebra of families of subfactors" (2008). Doctoral Dissertations. 442.
https://scholars.unh.edu/dissertation/442