On a class of II1 factors with at most one Cartan subalgebra, II


This is a continuation of our previous paper studying the structure of Cartan subalgebras of von Neumann factors of type ${\rm II}_1$. We provide more examples of ${\rm II}_1$ factors having either zero, one, or several Cartan subalgebras. We also prove a rigidity result for some group measure space ${\rm II}_1$ factors.