ok that's fine my info is just 30 years old and since stars move
To have moved that much closer in 30 years it would have had to have been traveling ~2.5 of light speed. Very unlikely. Its possible your old source was based on a faulty measurement however. That also seems unlikey as AC is one of the few stars we can measure by direct parallax so it's distance has been known for a long time very accurately.
I suppose one day it may be technically possible to "claim" (by claim I mean say 'this is our matter and anyone using it will have to pay') as far out as the Oort cloud which can extend up to half a light year in some places. Thats still only 1/9th of the way to the nearest star. Realistically Solar systems will have to be independant of each other and a centralised govt will be impossible (lightspeed com lag.)
Space is just too mind bogglingly huge.
To put it in km a light year is 9.461×10^12 km.
Thats 9,461,000,000,000 km. The earth has a diameter of only 12,000 km. You simply can't apply concepts such as territory to interstellar space.