In Baku many modern architectures attract your attention, like the special building which was made by Zaha Hadid.
I feel in the above sentence, one should say "a special building", though if we omit "special", "the building" is also correct. Is this any creditable? If yes, why?
To me using "the special building" to refer to a specific building seems odd. I can imagine "the building made by ..." to mean a specific building. "the red building" to point to a famous red building in Baku, but when it comes to "special", my mind requests an "a", because first "special" is not like "red" a specific and noticeable attribute for the hearer. I can imagine the hearer asks "Which special building", "How special", but with "a special building" I just say there is a special building (in some ways) there made by Hadid.