$C\sp*$-algebras isomorphic after tensoring

It is always true that whenever $\mathfrak{A}$ and $\mathfrak{B}$ are isomorphic ${C^\ast}$-algebras then ${\mathfrak{M}_2} \otimes \mathfrak{A}$ and ${\mathfrak{M}_2} \otimes \mathfrak{B}$ are also isomorphic, and the converse holds for many standard examples. In this note we present two ${C^\ast}$-algebras $\mathfrak{A}$ and $\mathfrak{B}$ such that ${\mathfrak{M}_2} \otimes \mathfrak{A}$ and ${\mathfrak{M}_2} \otimes \mathfrak{B}$ are isomorphic whereas $\mathfrak{A}$ and $\mathfrak{B}$ are not.