Rich DeVaul, head of Google X's Rapid Evaluation team, recently went on record that Google had indeed looked into the creation of a space elevator. In fact, DeVaul and his team seem to have whipped up a space elevator design that would, in his words, "take you from ground to orbit with a net of basically zero energy." That's a pretty amazing result.
The news isn't entirely good, however. As quick as it was designed, Google X's space elevator was put on ice.