If you have a year lease for a house and you pay your rent on time every month can the lease be broken because the property management suddenly found you had a bankruptcy?

If they asked you on the application, and you lied, then, yes, technically, that is a lease violation that gives the landlord the right to terminate the lease. But, you make a very good point - why would they bother at this point? Sometimes, big management companies have hardline policies because they don't want word to get out that they're soft.

Evicting you would be a pain, and not really worth it. They might be smart to write you a letter saying that they will not be renewing the lease when it's up.