I have a document which are previously compiled with regular pdflatex with
\usepackage{times}, the typographic quote symbols are generated correctly as:

And once I started to use LuaLatex with:
\usepackage{fontspec}
\setmainfont{Times}
The quote symbols are generated as:

How come and how to fix this? Thanks!!
fontspecor use\setmainfont[Ligatures=TeX]{Times}– Thérèse Nov 06 '14 at 16:26fontspecenables TeX ligatures by default. – egreg Nov 06 '14 at 17:30