Thank you for your question.  I am assuming that the bamboo that is invading your property is a running (rhizomatous) bamboo variety (as opposed to clumping bamboo).  Since we are unable to give legal advice in this forum, I suggest you contact your city to see if there are regulatory constraints on growing running bamboo on property lines.  Absent a specific law, your only remedy would be to seek the advice of an attorney.  Here is an Extension article with suggestions about actions you can take short of legal action:  Bamboo control extension question - UC Weed Science - ANR Blogs (ucanr.edu)

I hope this is helpful.  Good luck!