WHAT would you do with $600 billion in cash? If you’re the capital of the United Arab Emirates, rich in oil, the answer is easy: go shopping. Once aloof from the spendthrift ways of neighboring Dubai, Abu Dhabi — which, so far, has not experiencehttp://admatravel.com/wp-admin/post-new.php?post_type=postd the unrest many Arab countries are facing http://admatravel.com/wp-admin/post-new.php?post_type=post— is now ticking off items on a five-star shopping list. Top-notch museums? New branches of the Louvre and Guggenheim are rising from the sands. High-profile events? The Abu Dhabi Grand Prix, Abu Dhabi Film Festival and Gourmet Abu Dhabi have made their debuts in recent years. Toss in a multibillion-dollar hotel project and a stunning new mosque and you have one of the world’s most ambitious new destinations.