The HN title of this needs fixing - I think Kasparov is talking about innovation within the U.S. (although the article itself is maddeningly unclear, saying "thinks the U.S. has become complacent when it comes to innovation" but then seeming to push a worldwide brush that the "last technology that could be thought of as revolutionary, he says, was the Apple II"; I think he meant in the U.S. and this is just sloppy journalism).
You're spot on about mobile phones changing things; the first mobile phone network was in Japan, and the Nordic countries were second up. The revolutionary innovation, which Kasparov is talking about, was not within the U.S.