A star note has a star at the end of the serial number:
They're made as replacements for defective bills. If, during quality checks, a defective note is found, it's pulled out and replaced from a stock of star notes.
They're more collectible because of the novelty and relative scarcity.
The simplest explanation is that a star note is paper money with a star in the serial number. You have probably seen photos of them here.
I believe (and if I'm wrong, I hope somebody comes along to correct me) that the star notes are replacements for notes that didn't get printed properly. The bad notes are destroyed and the notes are reprinted with a star as part of the serial number.
They are only worth as much as somebody is willing to pay for them. Older unused notes are worth more than newer wrinkled bills.
I have a wretched wrinkly one that I found last year and I think it's fun to look for them and even more fun to find them. When I find a better one, I'll probably release the wrinkly one back into the wild because I seriously doubt that it is worth more than face value.
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