Following the landmark result of Jones regarding the possible indices of a subfactor, a lot of progress has been made classifying finite depth subfactors. Currently we have a complete classification of all the possible irreducible hyperfinite subfactors with index less than or equal to 3+sqrt(5) and finite depth. It is an open problem to determine if a similar classification can be obtained for infinite depth subfactors.
We will discuss a new approach to classify infinite depth subfactors coming from commuting squares. We will also use this approach to construct a new irreducible hyperfinite infinite depth subfactor with index (5+sqrt(17))/2.
This is joint work with Dietmar Bisch.
ASUERAU C*-Seminar
October 12, 2023
WXLR A546 and Virtual via Zoom
3:00 - 4:00pm MST/AZ
The seminar is organized jointly with Mitch Hamidi and Lara Ismert at Embry-Riddle Aeronautical University in Prescott, AZ.
(Please email the organizers Steve Kaliszewski and Jack Spielberg to be put on the email list if you would like to receive the link to the zoom seminar.)
Julio Caceres
Vanderbilt