题目：On the isomorphism class of q-Gaussian C*-algebras for infinite variables
报告人：Mateusz Wasilewski （波兰科学院数学研究所）
时间：2022年5月11日（星期三），16：00-17：30
地点：Zoom会议，会议号：824 7045 6491，会议密码：123399
摘要：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.
会议链接：https://zoom.us/j/93850127691?pwd=UzRnWXlWRDM1VlI5TFJEZ05lWE1aQT09
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