You are talking about the Globe. Shakespeare didn't own it, rather, he was a sharer who contributed a set amount of money at the outset, as did his fellow 8 sharers, and they then divided up the profits 8 ways, amongst themselves. The theatre was built in 1599, from the old theatre, (called the Theatre!) which Shakespeare, and his associates, pulled down after a row with the landowner, one Giles Allen. It closed, (well, it burnt down!) in 1613, but the sharers, numbering 12 now, once again financed the re-building, and the Globe stood for many more years until it was closed, by the Puritans, in or around 1640.