HCF Ground Controller described event when failed internal coordination led to use of closed taxiway.

Narrative

I was working Ground Control; Clearance Delivery; and Flight Data combined. I had received a briefing from the previous Controller and assumed the position at XA50L. At XB00L Taxiway A was scheduled to close; but there had been no confirmation by the previous Controller or the Supervisor. At XB00L the Supervisor gave his relief briefing to a CIC and left the facility. Nothing was said to the remaining Controller either confirming or announcing the closure. None of the Controllers were aware that it had closed. I taxied the 3 aircraft on the 'closed' taxiway before the airport authority called to confirm the taxiway closure. This could have been avoided had the Supervisor announced or verified the actual closure. Even though closures are scheduled; in advance; they often are delayed or canceled for various reasons. It should not be assumed that since it has been posted in advance; that everyone is aware. There are many duties that distract -- and closures need to be verified and announced in real-time!