Operator algebras in rigid C*-tensor categories

Corey Jones (Australian National University)

Tuesday 17th January, 2017 16:00-17:00 Maths 204


The ``trivial" tensor category of finite dimensional Hilbert spaces is the natural setting for finite dimensional multi-linear algebra.  A rigid C*-tensor category can be thought of as a generalization of this category, providing a model for finite dimensional multi-linear algebra with an underlying ``quantum symmetry".   In this talk, we will explain how to extend this analogy to the infinite dimensional world, providing notions of C* and W*- algebra objects internal to a tensor category C, which reduce to our familiar notions when C is trivial.  We will discuss how several objects and constructions from the theories of quantum groups and subfactors fit into this framework.  Based on joint work with Dave Penneys.

Add to your calendar

Download event information as iCalendar file (only this event)