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Noncommutative Geometry Seminar - Dietmar Bisch

dietmar-bisch
March 27, 2018
1:50PM - 2:50PM
Cockins Hall 240

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Add to Calendar 2018-03-27 13:50:00 2018-03-27 14:50:00 Noncommutative Geometry Seminar - Dietmar Bisch Title: Subfactors and Quantum Symmetries Speaker: Dietmar Bisch (Vanderbilt University)   Abstract: The standard invariant of a subfactor is a complete invariant for amenable, hyperfinite subfactors by a theorem of Popa. It can be viewed as a group-like object and is a certain tensor category of "representations" of the subfactor. However, most hyperfinite subfactors are not amenable, and it is open how to distinguish them. I will discuss constructions of such examples and invariants for them. In particular, I will try to illustrate that a subfactor may encode "quantum symmetries" that are not captured by its standard invariant. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Subfactors and Quantum Symmetries

Speaker: Dietmar Bisch (Vanderbilt University)

 

Abstract: The standard invariant of a subfactor is a complete invariant for amenable, hyperfinite subfactors by a theorem of Popa. It can be viewed as a group-like object and is a certain tensor category of "representations" of the subfactor. However, most hyperfinite subfactors are not amenable, and it is open how to distinguish them. I will discuss constructions of such examples and invariants for them. In particular, I will try to illustrate that a subfactor may encode "quantum symmetries" that are not captured by its standard invariant.

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