You can view your Wallet menu by pressing the 'O' by default. Accessing the Territory interface through the Wallet menu will show you a list of your territories and their stored funds. Here is where you will add quanta to the balance for any of your territories. Taxes will automatically be withdrawn from this balance at a rate of 500,000 quanta per week. Each territory can hold up to 13 weeks of quanta.
Territories with unpaid taxes will go offline. Once funds have been added, you will be able to activate the territory once again and it will come back online, allowing mining and industry processes to be restarted. If the territory was online before the tax was successfully withdrawn, industry and mining will simply continue to run.
In the event that the territory successfully pays its tax, and the balance is reduced below the point that the next taxation cycle will have insufficient funds, a notification will be sent to the owner or the legates of the organization that owns the territory.
If the territory does not have enough quanta to cover the week, the territory will go offline and cease all mining and industry operations and a reminder notification will be sent to the territory owner or legates of the organization that owns the territory. During this period, the affected territory will not contribute to the adjacency bonus of the mining units.
If a territory remains offline for two consecutive tax cycles (two weeks in total), the ownership to the territory is lost and it becomes abandoned, unless that territory is flagged as a headquarters from the territory interface.