Title: Amenability, boundaries and von Neumann algebras

Abstract: Von Neumann first introduced the concept of amenable groups in 1929 to explain the Banach–Tarski paradox. Since then, the idea has found applications across many areas of mathematics, including group theory, ergodic theory, and operator algebras. In the theory of von Neumann algebras, which was introduced by Murray and von Neumann in 1936, amenability plays a central role, and the classification of amenable von Neumann algebras by Connes and Haagerup remains a cornerstone result. In this talk, I will survey amenability in von Neumann algebras, highlighting recent developments involving boundaries as well as some of my own contributions.

In conjunction with this colloquium, Professor Ding is giving a special lecture:

Amenability in Groups and Von Neumann Algebras at 12:30pm-1:20pm in the same day of this colloquium at Muhly Lounge, MLH on introductory materials related with this colloquium.

To participate in this colloquium remotely via Zoom, go to https://uiowa.zoom.us/j/92601778868

If you want to add or delete your name on the mailing list of this colloquium series, please email: math-colloquium@uiowa.edu