You can use 5.7oz Carbon Fibre Cloth to make the top and bottom layers of a sandwich style layup to make an equivalent of the 0.048". You can use a dial caliper to measure each of the materials used to figure out what amount of remaining material thickness you need in the middle.
http://www.icancomposites.com/product_info.php/cPath/21_22/products_id/28
Because Carbon Fibre is pretty expensive you have other options for the material to be in the middle of the layers of Carbon. You can opt for Fiberglass Cloth or cheaper yet, Fiberglass Matting. These materials are much more reasonably priced and with the Carbon top and bottom you should have a very strong sandwich. Being that 0.048" is pretty thin and you are looking for rigidity, I would opt for the stronger of the two which is fiberglass cloth for the center. Also laying the middle layers up at a 45% angle to each other will help in maintaining strength and rigidity overall. S-Glass is a very strong fiberglass cloth and might be a good choice for you. Granted you ought to make a small sample part prior to undertaking making an entire chassis floor to make sure you get the results you are after. Here are some S-Glass Cloths:
http://www.tapplastics.com/shop/product.php?pid=88&
http://www.tapplastics.com/shop/product.php?pid=87&
If the floor of your kart is completely flat that makes things fairly simple. If it has contours or bends then you will have to make some kind of form or mold to lay the part up in that fashion. I would definitely use Epoxy Resin for that application. It is tougher overall and is more suited to what you are trying to achieve. Here’s a good option for Epoxy Resins:
http://www.tapplastics.com/shop/product.php?pid=29&
If you have access to someone with a vaccuum pump setup that will make for a very nice end product that will get sucked down uniformly, but it is not a necessity really. Another good method if it is completely flat is using a hydraulic press.
I guarantee you if you make this part with a Carbon/Fiberglass layup at around 0.048" thick, it will be stronger than your 0.048" Aluminum. At a company I used to work for we made similar carbon/fiberglass cross laminated sheets around 0.050" - 0.060" in a hydraulic press and they were incredibly strong! I think they would have even repelled a bullet …lol.
Cool looking kart by the way 