Weak exactness and amalgamated free product of von Neumann algebras
Operator Algebras
2024-03-20 v1
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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Cite
@article{arxiv.2403.12833,
title = {Weak exactness and amalgamated free product of von Neumann algebras},
author = {Kai Toyosawa},
journal= {arXiv preprint arXiv:2403.12833},
year = {2024}
}
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16 pages