And they made sure of it. That's how the wifi and synchronizing and so on flows back and forth. Mind you, they also can do it w/o your permission. My daughter publishes e-books -- she said a year or so ago Amazon was pressured to remove a couple pretty severe porn books from their catalogue -- fine, except they also deleted the books from any kindle that had downloaded it, with no warning.
What concerns me, is that books that get forced from their catalogue by other means are subject to that, too. The book "Alms for Jihad" is one of the best-researched reference books ever written tracking the misuse of global charities to funnel millions to terrorists. It named a couple important Saudis as having their hands in several questionable charities and banks, and one sued in a UK court for libel -- the British laws make it very difficult to defend against a libel claim, so even though the source cited was official FBI transcripts and court testimony, the authors were required to get the original FBI agents who witnessed the actual transactions to testify. Not likely.
Long and short, they lost, and the publisher had to agree to recall and destroy all outstanding and public copies of the book including any e-books. I unknowingly had just bought one of the last hard copies in the world as a reference book. Had I bought it as an e-book, it would have been erased from my kindle without my consent.