New hyperfinite subfactors with infinite depth
Julio Cáceres (Vanderbilt University, USA)
Abstract: We will present new examples of irreducible, hyperfinite subfactors with trivial standard invariant and interesting Jones indices. These are obtained by constructing new finite dimensional commuting squares. We will use two graph planar algebra embedding theorems and the classification of small index subfactors to show that our commuting square subfactors cannot have finite depth. We also present one-parameter families of commuting squares that, by a classification result of Kawahigashi, will also yield irreducible infinite depth subfactors. This is joint work with Dietmar Bisch.
operator algebras
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
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| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |