A rigid hyperfinite type ${\mathrm{I}\mathrm{I}}_1$ factor

We show that it is relatively consistent with ZFC that there exists a hyperfinite type ${\mathrm{I}\mathrm{I}}_1$-factor of density character ${\mathrm{\aleph }}_1$ which is not isomorphic to its opposite, does not have any outer automorphisms, and has trivial fundamental group.