The notion of biexactness for groups was introduced by Ozawa in 2004 and has since become a major tool used for studying solidity of von Neumann algebras. We introduce the notion of biexactness for von Neumann algebras, which allows us to place many previous solidity results in a more systematic context, and naturally leads to extensions of these results. We will also discuss examples of solid factors that are not biexact. This is a joint work with Jesse Peterson.

Bio: Changying Ding obtained his Ph.D. degree in 2023 from Vanderbilt University under the supervision of Jesse Peterson. He is now a postdoc at University of California, Los Angeles.