The only problem I can see is that you seem to have two facts: 1) the UK plans to cut carbon emissions, and 2) worldwide government nanotechnology investment is US $4 billion. So I'm wondering if the sentence should read "The facts...indicate." My good friend "both" might be of help here: "Both the fact that the UK plans...and that worldwide gov't investment is...indicate a strong belief,
not only in the UK, but worldwide, that nanotechnology..."
I added that extra bit because I'm not really sure what nanotechnology has to do with carbon emissions. I thought it was tiny electronics. You could tell me, or I could Google it I suppose.
(Del sighs as she realizes she is going to spend another three hours helplessly pinioned in front of her computer monitor, avidly reading something she doesn't really have to know about)