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Relative Embeddability of von Neumann Algebras and Amalgamated Free Products
Published 14 Dec 2020 in math.OA | (2012.07940v3)
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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