The rights and responsibilities for trees in zoned residential neighborhoods completely vary depending on laws between different states.
In most cases, your local government is responsible for the care of these particular trees. They are solely planted for engineering or environmental purposes. You should not attempt to do any particular work on these trees before contacting your local municipality to see where the responsibility falls.
If works does need to be done, it’s important that contact is made and the issue is made public. This will disqualify you from holding any liability in case an accident does happen. In cases where you are indeed responsible for the tree, that’s important to note for your own tree care needs.