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arXiv · 2403.12833

Weak exactness and amalgamated free product of von Neumann algebras

Kai Toyosawa
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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.

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Kai Toyosawa. 2024-03-19. Weak exactness and amalgamated free product of von Neumann algebras. https://arxiv.org/abs/2403.12833

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