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Operator Theory Seminar - Kai Toyosawa; Vanderbilt University

Nov 5, 2024

01:30 PM - 02:30 PM

Van Allen Hall, 309

30 North Dubuque Street, Iowa City, IA 52242

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Kai Toyosawa; Vanderbilt University

Weakly Exact von Neumann Algebras and Amalgamated Free Products

Kai Toyosawa; Vanderbilt University

Weak exactness for von Neumann algebras was first introduced by Kirchberg in 1995 as an analogue of exactness in the setting of C$^*$-algebras. In this talk, I will show that the amalgamated free product of weakly exact von Neumann algebras is again weakly exact. The proof involves a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weak exactness.

To participate in the seminar remotely via Zoom, go to https://uiowa.zoom.us/j/95316149275

Individuals with disabilities are encouraged to attend all University of Iowa–sponsored events. If you are a person with a disability who requires a reasonable accommodation in order to participate in this program, please contact in advance at