Should the Adapter be in the ViewModel?

Question

Android

realized that the Adapter should not have any references to parts of the architecture at all: Presenter, ViewModel, Activity, Fragment, Router, etc. If you need an event handler, then you need to pass a callback.
Let's say the architecture is MVVM, and if you want to redirect to another screen by clicking on the adapter element, then we must create a callback in the ViewModel (inside it there is a Router object) and pass it to the adapter. Should the Adapter be in the ViewModel?
And is it correct to find Router inside it?
How do you organize your architecture using MVVM?