Housemate Used My Identity to Get Cable

My question involves criminal law for the state of: California

I live in an apartment under the same address. One of the housemates used my identity to alter our cable bill because the service is under my name. He had done this twice. I assume he needed my social security number in order to make changes to the account - as is the policy with this cable company. I typed in my number into his phone when he first inquired the company for information claiming that he needed it in order to ask for any information. I feel, now, that that was a lie. The alteration to the cable plan occurred on a separate call (one where I did not type in my number) and obviously I didn't approve any of this. As a result, I had to close the account and start a new one. Is what this house mate did considered fraud and can I sue? I'm considering changing my social security number.

You are free to make a police report, if you choose.

Sue? For what? What economic damages have you suffered?

Why do you imagine that you need a new Social Security Number - whether or not you were tricked the first time, you voluntarily gave that information to the cable company a second time when you "close[d] the account and start[ed] a new one."