General:
* False
* Fake
* Counterfeit
* Bogus
* Deceptive
* Fraudulent
* Fictitious
* Unreliable
More specific:
* Invalid (for arguments or claims)
* Unfounded (for claims or beliefs)
* Misleading (for information)
* Sham (for something pretending to be something else)
* Phony (for something that is fake or imitation)
The best synonym to use will depend on the specific context and the nuances you want to convey.