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Department of Mathematics,
University of California San Diego

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Math 243: Seminar in Functional Analysis

Kai Toyosawa

Vanderbilt University

Weak exactness and amalgamated free product of von Neumann algebras

Abstract:

We show that the amalgamated free product of weakly exact von Neumann algebras is weakly exact. This is done by using a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weakly exact von Neumann algebras.

Srivatsav Kunnawalkam Elayavalli

October 8, 2024

11:00 AM

AP&M B412

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