How should non-English site be encoded?

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Would google and other search engines support the indexing of
non-English UTF-8 encoded websites?

Most chinese website listed on google appears to be
-- for Traditional Chinese,  charset=big5" encoding=ANSI
-- For Simplified Chinese, charset=gb2312 encoding=ANSI

would major search engines support charset=UTF-8"  encoding=UTF-8??

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