Date of Award

Fall 2008

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.

Document Type

Dissertation

Department or Program

Mathematics

Degree Name

Doctor of Philosophy

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