Noncommutative Geometry Seminar

Series: Noncommutative Geometry Seminar Series

Subfactors and NCG

Dave Penneys, Professor, Mathematics, UCLA,

I'll discuss various approaches to connect subfactor theory and noncommutative
geometry via planar algebras. I'll begin with the definition of a planar algebra and some
basic examples. Next, we'll see how Jones found the cyclic category in the annular
Temperley-Lieb category. I'll then discuss joint work with Hartglass on canonical
C*-algebras associated to a planar algebra. We'll discuss their K-theory and various ways
to construct Dirac operators.

Event Sponsors:

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For more information, please contact Farzad Fathizadeh by email at [email protected] or visit http://www.math.caltech.edu/~ncg/.