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In this paper we study conditions under which, for an inclusion of finite vonNeumann 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 otherfinite von Neumann algebra $N_1$, where $R$ is the hyperfinite $\textrm{II}_1$factor.

Relative Embeddability of von Neumann Algebras and Amalgamated Free Products