论文标题
von Neumann代数和合并免费产品的相对嵌入性
Relative Embeddability of von Neumann Algebras and Amalgamated Free Products
论文作者
论文摘要
在本文中,我们研究了条件,在这些条件下,对于有限的von noumann代数$ n \ subseteq m $,我们减少了合并的免费产品$ \ ast_n m $可嵌入$(r \ bar {\ otimes} n_1} n_1 n_1)^ω$ neyumann $ neumann $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n n $ n n $ n n $ n n $ n n n $ n n $ n n $ ra ra ra ra ra ra ra ra。 $ \ textrm {ii} _1 $ factor。
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 $(R \bar{\otimes} N_1)^ω$ for some other finite von Neumann algebra $N_1$, where $R$ is the hyperfinite $\textrm{II}_1$ factor.