Errr... where do I begin? Shall we put aside the fact that it wasn't built until the late 1960s for now? And the fact that Hitler never actually lived in Liverpool? That Reichstag is 'parliament' so wouldn't be in Liverpool anyway? Or shall we just be kind and say its a misunderstanding?
Where did the rumour come from? Well, Beryl Bainbridge's fictional novel Young Adolf has a lot to answer for ( in my time I've seen Hitler's own ice skates at the old ice rink shop, and over the years had four different locations pointed out to me by taxi drivers or friends as Hitler's flat when he was an art student). Ian Kershaw's Hitler:Hubris book is an excellent biography of Hitler's early years by the way, and strangely enough doesn't find any time that young Adolf spent here. We did have a music teacher called Goering ( no relation) on Chatham Street though.
This rumour seemed to gain strength in the eighties and to be kind, seems to have transferred from earlier rumours of the same sort about the Harold Cohen Library being the Reich's favoured new home. Which also seem to have no traceable justification or logic. Damn you and your popular fiction Bainbridge!