Barclays are actually a client of the QIA, not the other way around. They were one of the lead houses when Barclays raised £7 billion a while ago, and now own around 6% of the bank. I would think it possible that they have a client looking at Liverpool, although I doubt they would take over the club themselves, as it is not in their remit as a SWF. (They tend to invest in infrastructure, power, transportation, real estate etc., not leisure).