The Space Dust is a casino built by Cryptosporidium.
Crypto started this successful business using the proceeds left over from their Big Willy franchise. It has become their home base and source of a steady flow of cash and DNA. Crypto uses this to unwind from decades of DNA gathering. They have faced competition from the Molinari Brothers who own the Nero's Palazzo casino, thinking the Furons are going to open an alien-themed resort to bring in a family crowd.
After the Nexos attacked it, Crypto was forced to annihilate all of Paradiso to erase evidence of the Furons' presence there, including the Space Dust. This drove him to seek revenge on the conspirator who sent the Nexos.