No, they are not known for having an aggressive or invasive root system, although established plants can produce some larger surface roots that could lift bricks or pavers. They also have a rather dense root system that makes growing a lawn right up to them or underplanting a bit difficult.

Do liquid amber trees have invasive roots?

Ficus and rubber trees are notorious for their invasive roots system, as is liquidambar (Liquidambar styraciflua). A large tree, such as the ficus, rubber tree and liquid amber can also block a lot of light.

What tree roots are not invasive?