  We consider some conditions similar to Ozawa's condition (AO), and prove that
if a non-injective factor satisfies such a condition and has the W*CBAP, then
it has no Cartan subalgebras. As a corollary, we prove that $\rm II_1$ factors
of universal orthogonal and unitary discrete quantum groups have no Cartan
subalgebras. We also prove that continuous cores of type $\rm III_1$ factors
with such a condition are semisolid as a $\rm II_\infty$ factor.
