Prime II_1 factors cannot be decomposed as a tensor product of II_1 factors. McDuff II_1 factors on the other hand, absorb the hyperfinite II_1 factor, i.e. $M \cong M \otimes \mathcal{R}$. Building on the work of Eli Bashwinger and Matthew Zaremsky, we show that one class of Thompson-Like groups will generate new examples of McDuff von Neumann algebras, while a separate class will generate new examples of Prime von Neumann algebras. This is joint work with Rolando de Santiago and Krishnendu Khan.
ASUERAU C*-Seminar
November 9, 2023
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.)
Note that Arizona does not observe Daylight Savings Time, so if you are in the US but not in Arizona, most likely our seminar has moved one hour earlier relative to your local time. (It's still 3:00-4:00pm MST, which is UTC -7.)
Patrick Debonis
Graduate student
Purdue University