Title: On the isomorphism class of q-Gaussian C*-algebras for infinite variables
Speaker: Mateusz Wasilewski （Institute of Mathematics of the Polish Academy of Sciences）
Time: Wednesday, May 11, 2022, 16:00-17:30 (UTC+8)
Location: Zoom, Zoom Meeting ID: 824 7045 6491, Password: 123399
Abstract: Bożejko and Speicher introduced q-Gaussian variables to produce examples of generalized Brownian motions. The resulting von Neumann algebras – the q-Gaussian algebras – can be viewed as deformations of the free group factors. It is a very natural question whether these von Neumann algebras are actually isomorphic to the free group factors. Guionnet and Shlyakhtenko introduced the free monotone transport techniques and provided a partial answer: if the number of variables is finite and the parameter q is very small then we do get an isomorphism. There are no results known for infinitely many variables and in my talk I plan to describe a related result about q-Gaussian C*-algebras – in the infinite case they are not isomorphic to their free counterparts. The von Neumann algebraic case remains open.
Joint work with Matthijs Borst, Martijn Caspers and Mario Klisse.
Meeting link: https://zoom.us/j/93850127691?pwd=UzRnWXlWRDM1VlI5TFJEZ05lWE1aQT09
More information about the Functional Analysis Seminar can be found here.
