讲座内容：

Classical intermediate factor theorems establish settings of measure-class preserving maps $G\curvearrowright Y$ and $G\curvearrowright X$ such that every G-intermediate factor Q with $Y\times X\rightarrow Q\rightarrow Y$ splits as a product of Y and a factor of X. These can be viewed naturally as a splitting of tensor products phenomenon in Operator Algebras. In this talk, we present some new results on this splitting in C$^*$-algebras. Based on joint work with Amrutam Tattwamasi.