My mistake. But my point remains the same. If you want to resurrect property disputes from 560 years ago, then there's really no end to the number of potential -- and ludicrous -- claims. Americans, whose continent hadn't even been discovered then, should be the first to realize that.
I remember reading sometime in the last few years that Egyptian lawyers were considering suing Israel in the Hague for the plunder taken by the Hebrews as they escaped from Pharoh as described in the book of Exodus.
The Church of Hagia Sophia belongs to the still functioning church in Turkey made up of now Turkish citozens - granted only 2,000 have survived the decades long ethnic cleansing but they are the ones that can claim ownership without force.
Let's be honest - Turkey could not keep the Church a mosque and see fit to break from its past and come closer to Europe and the Turks fear returning it to the Greeks because they fear that one day the Greeks will come back and take the city and Anatolia back (Irrational fear at this point but most fears are irrational) so the Turks made the Great Church into a museum as an attempt to make it neutral ground.
If Turkey was smart it would re-open the museum as a church and it would not only get into the EU quicker but would make billions in tourist and pilgrim money. But they are not smart.