In the U.S. you would most likely hear/read, "The United Kingdom is abbreviated as UK". "The United States is abbreviated as U.S." "New York is abbreviated as NY". All without the article, and frequently/occasionally without "as". "New York is abbreviated NY".
In Italy, English teachers are usually taught BE. That is why I have suggested "to" as the right option.
I did not know that "as" is prevalent in the U.S.
So, I'm afraid I have misled tedwonny into believing that the (only) right option is "to".
I'm really sorry.
WW
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