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arXiv · 2012.07940

Relative Embeddability of von Neumann Algebras and Amalgamated Free Products

Weichen Gao·Marius Junge
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Abstract

In this paper we study conditions under which, for an inclusion of finite von Neumann algebras $N \subseteq M$, we have the reduced amalgamated free product $\ast_N M$ is embeddable into $(R \bar{\otimes} N_1)^\omega$ for some other finite von Neumann algebra $N_1$, where $R$ is the hyperfinite $\textrm{II}_1$ factor.

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Weichen Gao, Marius Junge. 2020-12-14. Relative Embeddability of von Neumann Algebras and Amalgamated Free Products. https://arxiv.org/abs/2012.07940

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